- Linear and uniformly continuous surjections between Cp-spaces over metrizable spaces, in print.
- On uniformly continuous surjections between function spaces (with A. Emre Eysen), submitted.
- Homogeneous locally compact spaces, submitted.
- Local structure of homogeneous ANR-spaces, Transaction of Amer. Math. Soc. 378 (2025), 1449–1463.
- Strongly locally homogeneous generalized continua of finite cohomological dimension, Topology and its Appl. 348 (2024) 108888 (with A. Karassev, P. Krurski and V. Todorov).
- Separation of homogeneous connected locally compact spaces, Proc. Amer. Math. Soc. Series B 11 (2024), 36-46.
- Proper absolute extensors, Topology Proc. 63 (2024), 107-115. MR4634395
- Extending homeomorphisms on Cantor cubes, Topology and its Appl. 340 (2023), paper No. 108718. (with E. Shchepin). MR
- On homogeneity of Nτ, Topology and its Appl. 329 (2023), paper No. 108380 (with A. Karassev and E. Shchepin). MR4566918
- On homogeneity of Cantor cubes, Canadian Math. Bull. 64 (4), 1084-1090. (with E. Shchepin). MR
- Homological characterizations of Q-manifolds and l2-manifolds, Fund. Math. 259 (2022), 255 – 269 (with A. Karassev). MR4502094.
- On Q-manifolds bundles, Topology and its Appl. 311 (2022), 107967 (with J. West) MR4403133
- On quasi k-metrizable spaces, Topology and its Appl. 281 (2020), 107199. MR4174599
- Homogeneous metric ANR-compacta, Serdica Math. J. 46 (2020), 1-18. MR4124057
- Spectral representations of topological groups and near-openly generated groups, Mat. Sbornik 211:2 (2020), 106-124 (with K. Kozlov). MR4070046
- Actions of semitopological groups, Canad. Math. Bull. 62 (2019), no. 2, 441-450 (with Jan van Mill). MR3952531
- On homologically locally connected spaces, Topology Appl. 260 (2019), 57–69 (with A. Koyama). MR3934912
- Homogeneous continua that are not separated by arcs, Acta Math. Hungar. 157 (2019),364–370 (with Jan van Mill). MR3928779
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- I-favorable spaces: Revisited, Topology Proc. 51 (2018), 277–292. MR3978641
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- Homological dimension and homogeneous ANR spaces, Topology and its Appl. 221 (2017), 38–50. MR3624443
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- Local cohomological properties of homogeneous ANR compacta, Fund. Math. 233 (2016), 257–270. MR3480120
- Locally n-connected compacta and UVn-maps, Anal. Geom. Metr. Spaces 3 (2015), 93–110. MR3343668
- Skeletally generated spaces and absolutes, Top. Proc. 45 (2015), 63–71. MR3173794
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- Alexandroff type manifolds and homology manifolds, Houston Math J. 40 (2014), 1325–1346(with V. Todorov). MR3298753
- Homogeneous ANR and Alexandroff manifolds, Topology and its Appl. 173 (2014), 227–233. MR3227218
- A selection theorem for set-valued maps into normally supercompact spaces, Bull. Acad. Stiinte Rep. Moldova 2(72)-3(73 (2013), 99–105. MR3241479
- On generalized Alexandroff manifolds and homogeneous continua, (with A. Karassev and V. Todorov), Can. Math. Bull. 57(2) (2014), 335–343. MR3194180
- Averaging operators and set-valued maps, Mathematica Balkanica, 27(3-4) (2013), 135–149.
- Skeletally Dugundji space, Central Europ. J. Math. 11 (2013), 1949–1959. (with A. Kucharski and Sz. Plewik). MR3092790
- Functional extenders and set-valued retractions, J. Math. Anal. Appl. 399 (2013), 306–314(with R. Alkins). MR2993856
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- Generalized Cantor manifolds and indecomposable continua, Question and Answers in Gen. Topol. 30 (2012), 93–102 (with V. Todorov). MR3014523
- Embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl., 159 (2012), 1670–1677. (with S. Bogataya and S. Bogatyi). MR2904053
- Special embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl. 159 (2012), 2269–2273 (with S. Bogatyi). MR2921816
- Generalized Cantor manifolds and homogeneity, Houston J. Math. 38:2 (2012), 583–609 (with A. Karassev, P. Krupski and V. Todorov). MR2954653
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- Mazurkiewicz manifolds and homogeneity, Rocky Mount. J. Math. 41:6 (2011), 1933–1938 (with P. Krupski). MR2854744
- Maps with dimensionally restricted fibers, Coll. Math. 123:2 (2011), 239–248. MR2811176
- Very I-favorable spaces, Topology and its Appl. 158 (2011), 1453–1459 (with A. Ku-charskiand Sz. Plewik). MR2812495
- External characterization of I-favorable spaces, Mathematica Balkanica 25:1-2 (2011), 61–78. MR2848574
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- Parametric Bing and Krasinkiewicz maps: revisited, Proceedings Amer. Math. Soc. 139:2 (2011), 747–756. MR2736353
- Krasinkiewicz spaces and parametric Krasinkiewicz maps, Houston J. Math. 36:4 (2010), 1207–1220 (with E. Matsuhashi). MR2753741
- Linear operators with compact supports, probability measures and Milyutin maps, J. Math. Anal. Appl., 370:1 (2010), 132–145. MR2651135
- Approximation by light maps and parametric Lelek maps, Topology and its Appl. 157 (2010), 2325–2341 (with T. Banakh). MR2674029
- Spaces having fibred approximation property in dimension n, Central Europ. J. Math. 8:3 (2010), 411–420 (with T. Banakh). MR2653650
- Finite-to-one maps into Euclidean manifolds and spaces with disjoint disks properties, Topol. and its Appl. 157:4 (2010), 779–788 (with A. Karassev and M. Tuncali). MR2585411
- Open maps having the Bula property, Fund. Math. 205:2 (2009), 91–104 (with V. Gutev). MR2545446
- Sections, selections and Prohorov’s theorem, J. Math. Anal. Appl. 360:2 (2009), 377–379 (with V. Gutev). MR2561236
- A non-separable Christensen’s theorem and set tri-quotient maps, Topology and its Appl. 156:7 (2009), 1234–1240 (with J. Pelant and S. Nedev).
MR2501999
- Probability measures and Milyutin maps, J. Math. Anal. Appl. 350:2 (2009), 723–730. MR22474807
- Parametric Bing and Krasinkiewicz maps, Topology and its Appl. 155:8 (2008), 916–922. MR2406399
- Dimension-raising theorems for cohomological and extension dimension, Topology and its Appl. 155:17-18 (2008), 2090–2101 (with G. Skordev). MR2457994
- Dimension of maps, universal spaces, and homotopy, J. Math. Sci. 155:4 (2008), 573625 (with A. Karassev). MR2731967
- Topology in North Bay: some problems in continuum theory, dimension theory and selections, in: Open Problems in Topology II (E. Pearl ed.), Elseivier 2007, 703–716 (with A. Karassev and M. Tuncali).
- Extension dimension and quasi-finite CW-complexes, Topology and its Appl. 153:17 (2006), 3241–3254 (with A. Karassev). MR2260582
- On intersection of simply connected sets in the plane, Glasnik Matematicki. Ser. III 41:1 (2006), 159–163 (with E. Tymchatyn). MR2242399
- Universal absolute extensors in extension theory, Proc. Amer. Math. Soc. 134:8 (2006), 2473–2478 (with A. Karassev). MR2213722
- Extraordinary dimension of maps, Topology and its Appl. 153:10 (2006), 1586–1592 (with A. Chigogidze). MR2216122
- Roberts’ type theorems on dimension and conversion of the transversal Tverberg’s theorem, Sb. Math. 155:11-12 (2005), 1585–1603 (with S. Bogatyi). MR2216009
- On regularly branched maps, Topology and its Appl. 150:1-3 (2005), 213-221 (with M. Tuncali). MR2133680
- On C*-algebras with the approximate n-th root property, Bull. Austral. Math. Soc. 72:2(2005), 197–212 (with A. Chigogidze, A. Karassev and K. Kawamura). MR2183403
- Extensional dimension and completion of maps, Topology Proc. 29:1 (2005), 377–384 (with M. Tuncali and E. Tymchatyn). MR2182942
- On finite-to-one maps, Canadian J. Math. 48:4 (2005), 614–621 (with M. Tuncali). MR2176159
- Bounded rank of C∗-algebras, Topology and its App. 140 (2004), 163-180 (with A. Chigogidze). MR2074914
- On finite-dimensional maps, Tsukuba J. Math. 28 (2004), 155-167 (with M. Tuncali). MR2082227
- Dense families of selections and finite-dimensional spaces, Set-Valued Analysis 11 (2003),373-391 (with V. Gutev). MR2010098
- On finite-dimensional maps II, Topology and its App. 132 (2003), 81-87 (with M. Tuncali). MR1990081
- 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
- C*-algebras of infinite real rank, Bull. Australian Math. Soc. 66 (2002), 487-496 (with A. Chigogidze). MR1939209
- On dimensionally restricted maps, Fund. Math. 175:1 (2002), 35-52 (with M. Tuncali). MR1971237
- Continuous selections and finite C-spaces, Set-Valued Analysis 10:1 (2002), 37-51. MR1888455
- The extension dimension and C-spaces, Bull. London Math. Soc. 34 (2002), 708-716 (with A. Chigogidze). MR1924198
- Continuous selections and C-spaces, Proc. Amer. Math. Soc. 130:1 (2002), 233-242 (with V. Gutev). MR1855641
- Extension dimension and refinable maps, Acta Math. Hungarica 92:3 (2001), 185-194 (with A. Chigogidze). MR1924237
- Universal metric spaces and extension dimension. Topology and its Appl. 113:1-3 (2001), 22-27 (with A. Chigogidze). MR1821843
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- Some characterizations of Q-algebras, Annals Soc. Mathematicae Polonae, Series 1: Commentationes Math. 39 (1999), 11-21 (with H. Arizmendi). MR1739013
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(Note: The Invited talks and visits are marked by an Asterix.)
- 36 Summer Topology Conference, July 18-22, 2022, University of Vienna, Austria.
Talk: Extending homeomorphisms on Cantors cubes II, jointly with E. Shchepin.
- 2022 Canadian Mathematical Society Summer Meeting, June 3-6, 2022, Memorial University, St. John’s, Newfoundland.
Talk: On homogeneity of Cantor cubes*, jointly with E. Shchepin.
- International Conference on Topology and its Applications dedicated to the 100th anniversary of the birthday of Yu. M. Smirnov, September 20-21, 2021, Moscow, Russia.
Talk: Extending homeomorphisms on Cantor cubes*, jointly with E. Shchepin.
- 15-th International Workshop on Well-Posedness of Optimization Problems and Related Topics, June 28 – July 2, 2021, Borovets, Bulgaria.
Talk: Homological characterization of Q-manifolds and l2-manifolds*.
- Conference on Geometric Topology and Related Topics dedicated to the 65th birthday of S. Antonyan, December 9-12, 2019, Mazatlan, Sinaloa, Mexico.
Talk: Homological selections and fixed points*.
- 45th International Conference Applications of Mathematics in Engineering and Economics, June 7-13, 2019, Sozopol, Bulgaria.
Talk: Homogeneous finite-dimensional metric compacta*.
- International Conference ”Topological Algebra and Set-Theoretic Topology” dedicated to Professor A. V. Arhangel’skii’s 80th birthday, August 23-28, 2018, Moscow, Russian Federation.
Talk: Spectral representation of topological groups and near-openly generated groups*.
- International Conference on Topology and its Applications, July 7-11, 2018, Nafpactos, Greece.
Talk: Homogeneous ANR compacta*.
- Mathematical Congress of the Americas, July 24-28, 2017, Montreal.
Talk: Homogeneous finite-dimensional metric compacta*.
- Mathematics days in Sofia, July 10-14, 2017, Sofia.
Talk Spectral representations of topological groups*.
- Moscow State University: June 8-22, 2016.
Talk: Homological selections and fixed point theorems*.
- Conference ”Topology and its Applications” in memory of St. Nedev (1942- 2015), Sofia, June 6-8, 2016.
Talk: Homogeneous metric ANR compacta*.
- Matsuyama University, Matsuyama, Japan, April 27 – May 2, 2016.
Talk: Homological selections and fixed point theorems*.
- Matsue University, Matsue, Japan, April 6-27, 2016.
Talk: Homogeneous metric ANR compacta*.
- Waseda University, Tokyo, Japan, April 3-6, 2016.
Talk: Homological properties of homogeneous ANR compacta*.
- College of Staten Island/ City University of New York, May 13, 2015.
Talk: Alex Chigogidze and his mathematical legacy* (jointly with A. Dranishnikov)
- Mathematical conference ”Maths Days in Sofia”, Sofia, Bulgaria, July 7-10, 2014.
Talk: Local properties of homogeneous ANR compacta*.
- International Conference on Topological Algebras and their Applications, Dominican Republic, May 26-30, 2014.
Talk: Separating sub-additive maps*.
- 4th Waseda Geometric Topology Workshop, September 9-10, 2013, Tokyo.
Talk: Homogeneous compacta and manifolds*.
- International Conference on Topology and Geometry 2013, joint with the Sixth Japan-Mexico Topology Symposium, Matsue, Japan, September 2-6.
Talk: Generalized Cantor manifolds.
- Topological Methods in Analysis and Optimization (dedicated to the 70-th birthday of Prof. Petar Kenderov), June 10-13, 2013, Sofia, Bulgaria.
Talk: Homogeneous compacta and generalized manifolds*.
- International Conference on Topological Algebras and Applications (dedicated to the 70th birthday of Professor Mati Abel), May 30- June 2, 2013, Tartu, Estonia.
Talk: Functional extenders*.
- Research Conference of the Israel Science Foundation ”Interaction between Logic, Topological structures and Banach spaces theory”, Eilat, May 19-24, 2013, Israel.
Talk: Alexandroff manifolds and homogeneous compacta*.
- Third International Conference on Topology and its Applications, 2-7 September, 2012, Skopje, Republic of Macedonia.
Talk: Homogeneous ANR and Alexandroff manifolds*.
- International Conference on Applied and Industrial Mathematics dedicated to Mitrofan Choban, August 22-25, 2012, Tiraspol State University, Republic of Moldova.
Talk: Homogeneous compacta*.
- International conference ”Alendroff Readings”, Moscow State University, May 21-25, 2012, Moscow, Russia.
Talk: Cantor manifolds and homogeneity*.
- International conference in honor of E. Schepin on the occasion of his 60th birthday, October 15-16, 2011, Oaxaca, Mexico.
Talk: Selections and extenders*.
- International Conference Japan-Mexico on Topology and its Applications, September 27– October 1, 2010, Colima, Mexico.
Talk: Bing and Krasinkiewicz maps.
- Conference ”Analysis, Topology and Applications 2010”, Vrnjacka Banja, Serbia, June 20-25.
Talk: Kappa-metrizable compacta and I-favorable spaces.
- 2010 International Conference on Topology and its Applications, June 26-30, 2010, Nafpaktos, Greece.
Talk: Parametric Bing and Krasinkiewicz maps:revisited.
- Algebra meets Topology: Advances and Applications, Conference in honour of Dikran Dikranjan on his 60th birthday, July 19-23, 2010, Barcelona, Spain.
Talk: Linear operators with compact supports, probability measures and Milyutin maps*.
- Research visit to University of Kwazulu-Natal, Durban, South Africa, August 26- September 6, 2009.
Talks: Parametric Bing and Krasinkiewicz maps and Linear operators with compact supports and probability measures*.
- Research visit* at the Faculty of Mathematics and Informatics, University of Sofia, Bulgaria, June 20 – July 20, 2009.
- International Topological Conference, Lviv, Ukraine, May 26 -June 7, 2008.
Talk: Selections and parametrizations*.
- Advances in Set-Theoretic Topology, Erice, Italy, June 9-19, 2008.
Talk: Generalized Cantor manifolds and homogeneity.
- Research visit* at the Center of Complex Systems and Visualization, University of Bremen, Bremen, Germany, May 25- June 5, 2007.
- Jubilee International Conference 60 years Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, July 6-8, 2007, Sofia, Bulgaria.
Talk: Generalized Cantor manifolds and homogeneity*.
- University of Kwazulu-Natal, Durban, South Africa, October 12, 2006.
Talk: Parametric Bing maps*.
- University of Kwazulu-Natal, Pietermaritzburg, South Africa, October 13, 2006.
Talk: Dimension raising theorems for cohomological and extension dimensions*.
- Center of Complex Systems and Visualization, University of Bremen, Bremen, Germany, June 3- 22, 2006.
Talk: Dimension theory: historical overview and some important results*.
- Conference dedicated to the 50th birthday of M. Ganster, June 17-19, 2006, Technical University of Graz, Graz, Austria.
Talk: Parametric general position properties and embeddings of n-dimensional maps into trivial bundles*.
- 2006 International Conference on Topology and its Applications, June 23-26, Aegion, Greece.
Talk: Dimension-raising maps theorems.
- International Conference ”Pioneers of Bulgarian Mathematics”, University of Sofia, July 8-10, 2006, Sofia, Bulgaria.
Talk: Parametric General position Properties*.
- 40th Spring Topology and Dynamical Systems Conference, March 23-25, 2006, University of North Carolina at Greensboro, Greensboro, USA.
Talk: On the Hurewicz dimension-raising maps theorems.
- Faculty of Mathematics and Informatics, Sofia University, July 2005, Sofia, Bulgaria.
Talk: Ranks and approximate properties of C* -algebras*.
- International Conference and Workshops on Geometric Topology honoring Karol Borsuk life and work on the 100th anniversary of his birth, 3-10 July, 2005, Bedlewo, Poland.
Talk: On finite-dimensional maps.
- 5th International Conference on Topological Algebras and Applications, June 27- July 1, 2005, Athens, Greece.
Talk: C* -algebras with approximate n-th root property*.
- Regional South African Mathematical Society Conference ”Topology and Analysis in Applications”, 12-16 July, 2004, Durban, South Africa.
Talk: Quasi-finite CW-complexes*.
- CMS/CAIMS Joint Summer Meeting, Dalhousie University, Halifax, Nova Scotia, June 13 – 15, 2004.
Talk: Extension dimension of maps between metrizable spaces*.
- Annual National Congress of the Sociedad Mathematica Mexicana, Universidad Autonoma del Estado de Hi-dalgo, Pachuca, Mexico, October 12 – 17, 2003.
Talk: Topological ranks of C* -algebras*.
- Spring Topology and Dynamical Systems Conference, Texas Tech University, Lubbock, Texas, March 20 – 22, 2003.
Talk: Mapping theorems for covering and extensional dimension*.
- 2002 AMS Spring Eastern Section Meeting, Montreal, Quebec, Canada, May 3-5, 2002.
Talk: Selection theorems and dimension*.
- Topology Seminar, Department of Mathematics, York University, Toronto, January 16-18, 2002.
Talk: Continuous Selections*.
- Geometric Topology Session, CMS Summer Meeting, June 2-4, 2001, University of Saskatchewan.Talk: Selections and finite-dimensional spaces*.
- Institute of Mathematics, Bulgarian Academy of Sciences, August 31, 2001.
Talk: Continuous selections and applications*.
2019 – 2024 National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 15,000 per year).
2013 – 2018 National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 11,000 per year).
2010 Chancellor’s Award for Excellence in Research
2008 – 2013 National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 12,000 per year).
2004 – 2007 Nipissing University Research Achievement Award (three years internal research grant, CD 5000).
2003 – 2008 National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 8500 per year).
1997 – 2000 Third World Academy of Sciences (TWAS) Grant for travel and research. My visit to the Mathematical Institute of the National Autonomous University of Mexico during the period June – July 1998 was supported by TWAS.
1990 British Council research support to visit Oxford University during the
period November 1990.
1979 Award for young researchers – Faculty of Mathematics and Informatics, Sofia University.