{"id":278,"date":"2025-05-24T13:04:58","date_gmt":"2025-05-24T17:04:58","guid":{"rendered":"https:\/\/faculty.nipissingu.ca\/veskov\/?page_id=278"},"modified":"2025-08-06T13:08:36","modified_gmt":"2025-08-06T17:08:36","slug":"research","status":"publish","type":"page","link":"https:\/\/faculty.nipissingu.ca\/veskov\/research\/","title":{"rendered":"Research"},"content":{"rendered":"
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  1. Linear and uniformly continuous surjections between \u00a0Cp-spaces over metrizable spaces, in print.\u00a0<\/a>
    \n\u200e<\/li>\n
  2. On uniformly continuous surjections between function spaces (with A. Emre Eysen), submitted.<\/a>
    \n\u200e<\/li>\n
  3. Homogeneous locally compact spaces, submitted.<\/a>
    \n\u200e<\/li>\n
  4. Local structure of homogeneous ANR-spaces,\u00a0 Transaction of Amer. Math. Soc. 378 (2025), 1449\u20131463.<\/a>
    \n\u200e<\/li>\n
  5. Strongly locally homogeneous generalized continua of finite cohomological dimension, Topology and its Appl. 348 (2024) 108888 (with A. Karassev, P. Krurski and V. Todorov).<\/a>
    \n\u200e<\/li>\n
  6. Separation of homogeneous connected locally compact spaces, Proc. Amer. Math. Soc. Series B 11 (2024), 36-46.<\/a>
    \n\u200e<\/li>\n
  7. Proper absolute extensors, Topology Proc. 63 (2024), 107-115. MR4634395<\/a>
    \n\u200e<\/li>\n
  8. Extending homeomorphisms on Cantor cubes, Topology and its Appl. 340 (2023), paper No. 108718. (with E. Shchepin). MR<\/a>
    \n\u200e<\/li>\n
  9. On homogeneity of N\u03c4, Topology and its Appl. 329 (2023), paper No. 108380 (with A. Karassev and E. Shchepin). MR4566918<\/a>
    \n\u200e<\/li>\n
  10. On homogeneity of Cantor cubes, Canadian Math. Bull. 64 (4), 1084-1090. (with E. Shchepin). MR<\/a>
    \n\u200e<\/li>\n
  11. Homological characterizations of Q-manifolds and l2-manifolds, Fund. Math. 259 (2022), 255 – 269 (with A. Karassev). MR4502094.<\/a>
    \n\u200e<\/li>\n
  12. On Q-manifolds bundles, Topology and its Appl. 311 (2022), 107967 (with J. West) MR4403133<\/a>
    \n\u200e<\/li>\n
  13. On quasi k-metrizable spaces, Topology and its Appl. 281 (2020), 107199. MR4174599<\/a>
    \n\u200e<\/li>\n
  14. Homogeneous metric ANR-compacta, Serdica Math. J. 46 (2020), 1-18. MR4124057<\/a>
    \n\u200e<\/li>\n
  15. Spectral representations of topological groups and near-openly generated groups, Mat. Sbornik 211:2 (2020), 106-124 (with K. Kozlov). MR4070046<\/a>
    \n\u200e<\/li>\n
  16. Actions of semitopological groups, Canad. Math. Bull. 62 (2019), no. 2, 441-450 (with Jan van Mill). MR3952531<\/a>
    \n\u200e<\/li>\n
  17. On homologically locally connected spaces, Topology Appl. 260 (2019), 57\u201369 (with A. Koyama). MR3934912<\/a>
    \n\u200e<\/li>\n
  18. Homogeneous continua that are not separated by arcs, Acta Math. Hungar. 157 (2019),364\u2013370 (with Jan van Mill). MR3928779<\/a>
    \n\u200e<\/li>\n
  19. Ranks and the approximate n-th root property of C\u2217-algebras, Topological algebras and their applications, 275\u2013293, De Gruyter Proc. Math., De Gruyter, Berlin, 2018. MR3793879<\/a>
    \n\u200e<\/li>\n
  20. Linear extension operators of bounded norms, J. Math. Anal. Appl. 446 (2018), 952\u2013960 (with D. Shakhmatov and T. Yamauchi). MR3818154<\/a>
    \n\u200e<\/li>\n
  21. I-favorable spaces: Revisited, Topology Proc. 51 (2018), 277\u2013292. MR3978641<\/a>
    \n\u200e<\/li>\n
  22. Homological dimension and dimensional full-valuedness, Serdica Math. J. 44 (2018), 93\u2013102. MR3889572<\/a>
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  23. Local homological properties and cyclicity of homogeneous ANR compacta, Proc. Amer. Math. Soc. 146 (2018), 2697\u20132705. MR3778169<\/a>
    \n\u200e<\/li>\n
  24. Homological dimension and homogeneous ANR spaces, Topology and its Appl. 221 (2017), 38\u201350. MR3624443<\/a>
    \n\u200e<\/li>\n
  25. Parametric set-wise injective maps, Topology and its Appl. 231 (2017), 337\u2013344 (with E. Matsuhashi). MR3712979<\/a>
    \n\u200e<\/li>\n
  26. Homological selections and fixed-point theorems, Journal of Fixed Point Theory and Applications 19 (2017), 1561\u20131570. MR3659023<\/a>
    \n\u200e<\/li>\n
  27. Game theoretic approach to skeletally Dugundji and Dugundji spaces (with A. Ku-charskiand Sz. Plewik), Topology and its Appl. 201 (2016), 206\u2013216. MR3461165<\/a>
    \n\u200e<\/li>\n
  28. Local cohomological properties of homogeneous ANR compacta, Fund. Math. 233 (2016), 257\u2013270. MR3480120<\/a>
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  29. Locally n-connected compacta and UVn-maps, Anal. Geom. Metr. Spaces 3 (2015), 93\u2013110. MR3343668<\/a>
    \n\u200e<\/li>\n
  30. Skeletally generated spaces and absolutes, Top. Proc. 45 (2015), 63\u201371. MR3173794<\/a>
    \n\u200e<\/li>\n
  31. On separating sub-additive maps, Turkish J. Math. 39 (2015), 168\u2013173. MR3311682<\/a>
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  32. Alexandroff type manifolds and homology manifolds, Houston Math J. 40 (2014), 1325\u20131346(with V. Todorov). MR3298753<\/a>
    \n\u200e<\/li>\n
  33. Homogeneous ANR and Alexandroff manifolds, Topology and its Appl. 173 (2014), 227\u2013233. MR3227218<\/a>
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  34. A selection theorem for set-valued maps into normally supercompact spaces, Bull. Acad. Stiinte Rep. Moldova 2(72)-3(73 (2013), 99\u2013105. MR3241479<\/a>
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  35. On generalized Alexandroff manifolds and homogeneous continua, (with A. Karassev and V. Todorov), Can. Math. Bull. 57(2) (2014), 335\u2013343. MR3194180<\/a>
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  36. Averaging operators and set-valued maps, Mathematica Balkanica, 27(3-4) (2013), 135\u2013149.<\/a>
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  37. Skeletally Dugundji space, Central Europ. J. Math. 11 (2013), 1949\u20131959. (with A. Kucharski and Sz. Plewik). MR3092790<\/a>
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  38. Functional extenders and set-valued retractions, J. Math. Anal. Appl. 399 (2013), 306\u2013314(with R. Alkins). MR2993856<\/a>
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  39. On a theorem of Arvanitakis, Mathematica 59 (2013), 250\u2013256. MR3028182<\/a>
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  40. Generalized Cantor manifolds and indecomposable continua, Question and Answers in Gen. Topol. 30 (2012), 93\u2013102 (with V. Todorov). MR3014523<\/a>
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  41. Embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl., 159 (2012), 1670\u20131677. (with S. Bogataya and S. Bogatyi). MR2904053<\/a>
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  42. Special embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl. 159 (2012), 2269\u20132273 (with S. Bogatyi). MR2921816<\/a>
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  43. Generalized Cantor manifolds and homogeneity, Houston J. Math. 38:2 (2012), 583\u2013609 (with A. Karassev, P. Krupski and V. Todorov). MR2954653<\/a>
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  44. Another approach to parametric Bing and Krasinkiewicz maps, Math. Balkanica 25:4 (2011), 419\u2013423. MR2961642<\/a>
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  45. Mazurkiewicz manifolds and homogeneity, Rocky Mount. J. Math. 41:6 (2011), 1933\u20131938 (with P. Krupski). MR2854744<\/a>
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  46. Maps with dimensionally restricted fibers, Coll. Math. 123:2 (2011), 239\u2013248. MR2811176<\/a>
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  47. Very I-favorable spaces, Topology and its Appl. 158 (2011), 1453\u20131459 (with A. Ku-charskiand Sz. Plewik). MR2812495<\/a>
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  48. External characterization of I-favorable spaces, Mathematica Balkanica 25:1-2 (2011), 61\u201378. MR2848574<\/a>
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  49. Extenders and \u03ba-metrizable compacta, Math. Notes 89:3 (2011), 331\u2013341. MR2856714<\/a>
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  50. Parametric Bing and Krasinkiewicz maps: revisited, Proceedings Amer. Math. Soc. 139:2 (2011), 747\u2013756. MR2736353<\/a>
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  51. Krasinkiewicz spaces and parametric Krasinkiewicz maps, Houston J. Math. 36:4 (2010), 1207\u20131220 (with E. Matsuhashi). MR2753741<\/a>
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  52. Linear operators with compact supports, probability measures and Milyutin maps, J. Math. Anal. Appl., 370:1 (2010), 132\u2013145. MR2651135<\/a>
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  53. Approximation by light maps and parametric Lelek maps, Topology and its Appl. 157 (2010), 2325\u20132341 (with T. Banakh). MR2674029<\/a>
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  54. Spaces having fibred approximation property in dimension n, Central Europ. J. Math. 8:3 (2010), 411\u2013420 (with T. Banakh). MR2653650<\/a>
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  55. Finite-to-one maps into Euclidean manifolds and spaces with disjoint disks properties, Topol. and its Appl. 157:4 (2010), 779\u2013788 (with A. Karassev and M. Tuncali). MR2585411<\/a>
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  56. Open maps having the Bula property, Fund. Math. 205:2 (2009), 91\u2013104 (with V. Gutev). MR2545446<\/a>
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  57. Sections, selections and Prohorov\u2019s theorem, J. Math. Anal. Appl. 360:2 (2009), 377\u2013379 (with V. Gutev). MR2561236<\/a>
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  58. A non-separable Christensen\u2019s theorem and set tri-quotient maps, Topology and its Appl. 156:7 (2009), 1234\u20131240 (with J. Pelant and S. Nedev).
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  59. Probability measures and Milyutin maps, J. Math. Anal. Appl. 350:2 (2009), 723\u2013730. MR22474807<\/a>
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  60. Parametric Bing and Krasinkiewicz maps, Topology and its Appl. 155:8 (2008), 916\u2013922. MR2406399<\/a>
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  61. Dimension-raising theorems for cohomological and extension dimension, Topology and its Appl. 155:17-18 (2008), 2090\u20132101 (with G. Skordev). MR2457994<\/a>
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  62. Dimension of maps, universal spaces, and homotopy, J. Math. Sci. 155:4 (2008), 573625 (with A. Karassev). MR2731967<\/a>
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  63. Topology in North Bay: some problems in continuum theory, dimension theory and selections, in: Open Problems in Topology II (E. Pearl ed.), Elseivier 2007, 703\u2013716 (with A. Karassev and M. Tuncali).<\/a>
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  64. Extension dimension and quasi-finite CW-complexes, Topology and its Appl. 153:17 (2006), 3241\u20133254 (with A. Karassev). MR2260582<\/a>
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  65. On intersection of simply connected sets in the plane, Glasnik Matematicki. Ser. III 41:1 (2006), 159\u2013163 (with E. Tymchatyn). MR2242399<\/a>
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  66. Universal absolute extensors in extension theory, Proc. Amer. Math. Soc. 134:8 (2006), 2473\u20132478 (with A. Karassev). MR2213722<\/a>
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  67. Extraordinary dimension of maps, Topology and its Appl. 153:10 (2006), 1586\u20131592 (with A. Chigogidze). MR2216122<\/a>
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  68. Roberts\u2019 type theorems on dimension and conversion of the transversal Tverberg\u2019s theorem, Sb. Math. 155:11-12 (2005), 1585\u20131603 (with S. Bogatyi). MR2216009<\/a>
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  69. On regularly branched maps, Topology and its Appl. 150:1-3 (2005), 213-221 (with M. Tuncali). MR2133680<\/a>
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  70. On C*-algebras with the approximate n-th root property, Bull. Austral. Math. Soc. 72:2(2005), 197\u2013212 (with A. Chigogidze, A. Karassev and K. Kawamura). MR2183403<\/a>
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  71. Extensional dimension and completion of maps, Topology Proc. 29:1 (2005), 377\u2013384 (with M. Tuncali and E. Tymchatyn). MR2182942<\/a>
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  72. On finite-to-one maps, Canadian J. Math. 48:4 (2005), 614\u2013621 (with M. Tuncali). MR2176159<\/a>
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  73. Bounded rank of C\u2217-algebras, Topology and its App. 140 (2004), 163-180 (with A. Chigogidze). MR2074914<\/a>
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  74. On finite-dimensional maps, Tsukuba J. Math. 28 (2004), 155-167 (with M. Tuncali). MR2082227<\/a>
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  75. Dense families of selections and finite-dimensional spaces, Set-Valued Analysis 11 (2003),373-391 (with V. Gutev). MR2010098<\/a>
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  76. On finite-dimensional maps II, Topology and its App. 132 (2003), 81-87 (with M. Tuncali). MR1990081<\/a>
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  77. On Q, QM and Q#M-algebras, Annals Soc. Mathematicae Polonae, Series 1: Commentationes Math. 42 (2002), 137-143 (with H. Arizmendi and A. Carrilo-Hoyo). MR1949632<\/a>
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  78. C*-algebras of infinite real rank, Bull. Australian Math. Soc. 66 (2002), 487-496 (with A. Chigogidze). MR1939209<\/a>
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  79. On dimensionally restricted maps, Fund. Math. 175:1 (2002), 35-52 (with M. Tuncali). MR1971237<\/a>
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  80. Continuous selections and finite C-spaces, Set-Valued Analysis 10:1 (2002), 37-51. MR1888455<\/a>
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  81. The extension dimension and C-spaces, Bull. London Math. Soc. 34 (2002), 708-716 (with A. Chigogidze). MR1924198<\/a>
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  82. Continuous selections and C-spaces, Proc. Amer. Math. Soc. 130:1 (2002), 233-242 (with V. Gutev). MR1855641<\/a>
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  83. Extension dimension and refinable maps, Acta Math. Hungarica 92:3 (2001), 185-194 (with A. Chigogidze). MR1924237<\/a>
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  84. Universal metric spaces and extension dimension. Topology and its Appl. 113:1-3 (2001), 22-27 (with A. Chigogidze). MR1821843<\/a>
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  85. Generalized tri-quotient maps and Cech-completeness, Comment. Math. Univ. Carolinae 42:1 (2001), 187-194 (with T. Dube). MR1825382<\/a>
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  86. Barreled and bornological function spaces, J. Math. Analysis and Appl. 242:1 (2000), 1-17 (with J. Dontchev and S. Salbany). MR1738486<\/a>
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  87. Lindel\u00a8of degrees and function spaces, in: Papers in Honour of Bernhard Banaschewski (Cape Town 1996), 475-483, Kluwer Acad. Publ., Dordrecht, 2000 (with D. Vuma). MR1799770<\/a>
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  88. Some characterizations of Q-algebras, Annals Soc. Mathematicae Polonae, Series 1: Commentationes Math. 39 (1999), 11-21 (with H. Arizmendi). MR1739013<\/a>
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  89. Spaces of bounded functions, Houston J. Math. 25:3 (1999), 501-521. MR1730884<\/a>
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  90. Function spaces and Diedonn\u00b4e completeness, Quaestiones Mathematicae 21 (1998), 303-309 (with D. Vuma). MR1701773<\/a>
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  91. Function spaces, Topology and its Appl. 81 (1977), 1-22. MR1477130<\/a>
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  92. Spaces of bounded functions with the compact open topology, Bull. Acad. Polish Sci. 45:2, (1997), 171-179. MR1466842<\/a>
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  93. A characterization of Dugundji spaces via set-valued maps, Topology and its Appl. 74:1-3 (1996), 109-121 (with D. Shakhmatov). MR1425931<\/a>
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  94. Classical-type characterizations of non-metrizable ANE(n)-spaces, Fund. Math. 145 (1994), 243-259 (with V. Gutev). MR1297407<\/a>
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  95. Set-valued maps and AE(0)-spaces, Topology and its Appl. 55:1 (1994), 1-15 (with A. Chigogidze). MR1255293<\/a>
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  96. Linear topological classifications of certain function spaces II, Mathematica Pannonica 4:1 (1993), 137 – 144. MR1226179<\/a>
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  97. Cantor set selectors, Topology and its Appl. 44:1-3 (1992), 163 – 166 (with V. Gutev, S. Nedev and J. Pelant). MR1173253<\/a>
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  98. Surjective characterizations of metrizable LC\u221e-spaces, Annuaire de L\u2019 Universite de Sofia \u201dSt. Kliment Ohridski\u201d, livre 1 – Mathematics, 85 (1991), 43 – 47. MR1294260<\/a>
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  99. Linear topological classifications of certain function spaces, Trans. Amer. Math. Soc. 327:2 (1991), 583 – 600. MR1079059<\/a>
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  100. Universal maps and surjective characterizations of completely metrizable LCn-spaces, Proc. Amer. Math. Soc. 109:4 (1990), 1125 \u2013 1133 (with A. Chigogidze). MR1009987<\/a>
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  101. The weight of compact retracts, Vestnik Moskov. Univ., Ser. Mat. 4 (1988), 96-97 (with S. Bogatyi) (in Russian). MR0972731<\/a>
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  102. Selection theorems for AE(n)-spaces, Comp. rend. Acad. Bulg. Sci. 41:5 (1988), 11-12 (with V. Gutev). MR0952201<\/a>
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  103. Yet another characterization of AE(0)-spaces, Proc. of the Seventeenth Spring Conference of the Union of Bulgarian Mathematicians. Sunny Beach, April 6-9 (1988), 147-150.<\/a>
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  104. Set-valued maps and AE(0)-spaces, Comp. rend. Acad. Bulg. Sci. 41:4 (1988), 13-14 (with A. Chigogidze). MR0948061<\/a>
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  105. Universal maps and surjective characterizations of completely metrizable LCn-spaces,Comp. rend. Acad. Bulg. Sci. 41:5 (1988), 9-10 (with A. Chigogidze). MR0952200<\/a>
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  106. Another characterization of AE(0)-spaces, Pacif. J. Math. 127:1 (1987), 199\u2013208. MR0876026<\/a>
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  107. Milyutin mappings and AE(0)-spaces, Comp. rend. Acad. Bulg. Sci. 40:11, (1987), 9-12. MR0926537<\/a>
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  108. Some properties of Cp(X), Commentationes Math. Univ. Carolinae 27:4 (1986), 665-672. MR0874659<\/a>
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  109. Some characterizations of the spaces with a lattice of d-open mappings, Comp. rend. Acad. Bulg. Sci. 39:9 (1986), 9-12. MR0875932<\/a>
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  110. A note on spaces with lattices of d-open mappings, Comp. rend. Acad. Bulg. Sci. 39:8 (1986), 9-12. MR0868702<\/a>
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  111. Some properties of selectors, Comp. rend. Acad. Bulg. Sci. 38:12 (1985), 1593-1596 (with S. Nedev). MR0837259<\/a>
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  112. Normal selectors for the normal spaces, Comp. rend. Acad. Bulg. Sci. 37:7 (1984), 843-846 (with S. Nedev). MR0770978<\/a>
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  113. On the spaces which have a \u03c4 -lattice of open mappings, Serdica 10 (1984), 159-165. MR0768692<\/a>
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  114. On metrizability of selectors, Comp. rend. Acad. Bulg. Sci. 36:11 (1983) <\/a>
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  115. The weight of compacta with lattices of open mappings, Pliska 6 (1983), 63\u201374 (in Russian). MR0745611<\/a>
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  116. Free groups of topological spaces, Comp. rend. Acad. Bulg. Sci. 34:8 (1981), 1049-1053 (with B. Pasynkov) (in Russian). MR0639638<\/a>
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  118. The power of bicompacta with lattices of open maps, Comp. rend. Acad. Bulg. Sci. 32:8 (1979), 1005-1006 (in Russian). MR0557249<\/a>
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  119. A certain theorem of Michael on sections, Comp. rend. Acad. Bulg. Sci. 28:7 (1975), 871-873 (with M. Choban) (in Russian). MR0385802<\/a>
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  120. Book: General position properties in Fiberwise Geometric Topology, Dissertation Math. 491, Warszawa 2013, 120 p. (with T. Banakh) MR3112785.<\/a><\/li>\n<\/ol>\n

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    (Note: The Invited talks and visits are marked by an Asterix.)
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