{"id":27,"date":"2022-10-18T13:29:33","date_gmt":"2022-10-18T13:29:33","guid":{"rendered":"https:\/\/faculty.nipissingu.ca\/alexk\/?page_id=27"},"modified":"2026-04-27T02:13:22","modified_gmt":"2026-04-27T07:13:22","slug":"publications","status":"publish","type":"page","link":"https:\/\/faculty.nipissingu.ca\/alexk\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\"><\/h1>\n\n\n\n<p>Analyzing Short Texts using Wordscores (with D. Paczay), submitted<\/p>\n\n\n\n<p>Vietoris thickenings and complexes are homotopy equivalent (with H. Adams and Z. Virk), submitted<\/p>\n\n\n\n<p>Simple polynomial equations over\u00a0(m\u00d7m)-matrices (with V. Chatyrko), Appl. Gen. Topol., accepted.<\/p>\n\n\n\n<p>Simple polynomial equations over&nbsp;(2\u00d72)-matrices (with V. Chatyrko), Appl. Gen. Topol. 27, no. 1 (2026), 24202.<\/p>\n\n\n\n<p>On structural numbers of topological spaces, (with V. Chatyrko), Mathematica Slovaca,&nbsp;75, (2025), no. 5,&nbsp;1241-1248.<\/p>\n\n\n\n<p>On discrete homogeneity (with V. Chatyrko), General topology and related fields, RIMS Kyoto University, 2024, 14-21.<\/p>\n\n\n\n<p>Strongly locally homogeneous generalized continua of finite cohomological dimension (with P.Krupski, V. Valov, and V. Todorov), Topology Appl., 348, 2024.<\/p>\n\n\n\n<p>On (Theta-)discrete homogeneous spaces, (with V. Chatyrko), Mathematica Slovaca, 73, no. 6, 2023, 1587-1596.<\/p>\n\n\n\n<p>Discrete homogeneity and ends of manifolds, (with V. Chatyrko), Topology Appl. 336 (2023).<\/p>\n\n\n\n<p>On homogeneity of N<sup>tau,<\/sup> (with E. Shchepin and V. Valov), Topology Appl. 329 (2023).<\/p>\n\n\n\n<p>Homological characterizations of Q-manifolds and l<sub>2<\/sub>-manifolds, (with V. Valov), Fund. Math., 59 (2022), 255-269.<\/p>\n\n\n\n<p>Countable dense homogeneity and Hattori spaces, (with V. Chatyrko), Q&amp;A, 39, no. 2 (2021), 73-87.<\/p>\n\n\n\n<p>Admissible topologies for groups of homeomorphisms and substitutions of groups of G-spaces,(with K. Kozlov), Topology Appl., 275 (2020).<\/p>\n\n\n\n<p>Dimension and decomposition complexity properties of tree-graded spaces, (with N. Brodskiy), preprint.<\/p>\n\n\n\n<p>Reversible spaces and products, (with V. Chatyrko), Topology Proc., 49 (2017), 317-320.<\/p>\n\n\n\n<p>Base normal inductive dimension <em>I<\/em> of cubes, (with K.L. Kozlov), Fundamental and Applied Math., 20 (2015), no. 2, 113-124.<\/p>\n\n\n\n<p>Computation of inductive dimensions of product of compacta, (with K.L. Kozlov), Topology Appl., 179 (2015), 131-147.<\/p>\n\n\n\n<p>(Non)connectedness and (non)homogeneity, (with V. Chatyrko), Topology Appl., 179 (2015), 122-130<\/p>\n\n\n\n<p>Alexandroff manifolds and homogeneous continua, (with V. Todorov and V. Valov), Canad. Math. Bull., 57 (2014), no. 2, 335-343.<\/p>\n\n\n\n<p>Maximal metrizable remainders of locally compact separable metrizable spaces, (with V. Chatyrko), Topology Appl. 160 (2013), 1292-1297.<\/p>\n\n\n\n<p>On metrizable remainders of locally compact separable metrizable spaces, (with V. Chatyrko), Houston J. Math. 39 (4), 2013, 1067-1081.<\/p>\n\n\n\n<p>The (dis)connectedness of products in the box topology, (with V. Chatyrko), Q&amp;A 31 (2013), 11-21.<\/p>\n\n\n\n<p>Generalized Cantor manifolds and homogeneity, (with P. Krupski, V. Valov, and V. Todorov), Houston J. Math. 38 (2012), no. 2, 583-609.<\/p>\n\n\n\n<p>On homotopical and homological Z<sub>n<\/sub>, (with T. Banakh and R. Cauty), Topology Proc. 38 (2011) 29&#8211;82.<\/p>\n\n\n\n<p>Finite-to-one maps into Euclidean manifolds and spaces with disjoint disks properties, (with M. Tuncali and V. Valov), Topology Appl. 157 (2010) 779-788.<\/p>\n\n\n\n<p>Equivalent metrics and spans of graphs, (with L. Hoehn), Colloq. Math. 114 (2009), no. 1, 135-153.<\/p>\n\n\n\n<p>Universal spaces, homotopy, and dimension of maps, (with V. Valov), Modern Math. and its Appl., Georgian Acad. Sci. (in Russian); transl. in J. Math. Sci. 155, Issue 4 (2008).<\/p>\n\n\n\n<p>Michael&#8217;s problem and weakly infinite-dimensional spaces, Topology Appl. 155 (2008), no. 15, 1694-1698.<\/p>\n\n\n\n<p>Root closed function algebras on compacta of large<br>dimension, (with N. Brodskiy, J. Dydak, and K. Kawamura), Proc. Am. Math. Soc. 135 (2007), 587-596.<\/p>\n\n\n\n<p>Extension dimension and quasi-finite CW-complexes, (with V. Valov), Topology Appl. 153 (2006), no. 17, 3241-3254.<\/p>\n\n\n\n<p>Universal absolute extensors in extension theory, (with V. Valov), Proc. Amer. Math. Soc. 134 (2006), no. 8, 2473-2478.<\/p>\n\n\n\n<p>On two problems in extension theory, Topology Appl. 153 (2006), no. 10, 1609-1613.<\/p>\n\n\n\n<p>On commutative and noncommutative C*-algebras with the approximate n-th root property, (with A. Chigogidze, K. Kawamura, and V. Valov), Bull. Austral. Math. Soc. 72 (2005), 197-212.<\/p>\n\n\n\n<p>The Urysohn identity for closed subsets of some nonmetrizable manifolds, Topology Proc. 28 (2004), no. 2, 579-585.<\/p>\n\n\n\n<p>Real rank and squaring mapping for unital C*-algebras, (with A. Chigogidze and M. Rordam). Proc. Am. Math. Soc. 132 (2004), 783-788.<\/p>\n\n\n\n<p>Topological model categories generated by finite complexes, (with A. Chigogidze). Monatshefte fur Mathematik 139 (2003), no. 2, 129-150.<\/p>\n\n\n\n<p>Approximations and selections of multivalued mappings of finite-dimensional spaces, (with N. Brodsky and A. Chigogidze). JP Journal of Geometry and Topology 2 (2002), no. 1, 29-73.<\/p>\n\n\n\n<p>On [L]-homotopy groups. JP Journal of Geometry and Topology 3 (2001), no. 3, 301-310.<\/p>\n\n\n\n<p>Topological semigroups and universal spaces related to extension dimension (with A. Chigogidze and M. Zarichnyi). Mat. Stud. 16, no. 2 (2001), 195-198.<\/p>\n\n\n\n<p>An infinite-dimensional 4-manifold of finite cohomological dimension with the continuum hypothesis. Mat. Zametki 66 (1999), no. 5, 664-670 (Russian); English translation in Mathematical Notes 66 (1999), no. 5.<\/p>\n\n\n\n<p>On the inductive dimension of subsets of some nonmetrizable manifolds. Vestnik Moskov. Univ. Ser. I Mat. Mekh. (1997) no. 5, 11-14 (Russian).<\/p>\n\n\n\n<p>Topology in North Bay: some problems in continuum theory, dimension theory, and selections, (with V. Valov and M. Tuncali), a chapter in the &#8220;Open Problems in Topology II&#8221; (Edited by Elliott Pearl), 2007, Elsevier<\/p>\n\n\n\n<p>On extension dimension and [L]-homotopy. (2002) PhD Thesis, University of Saskatchewan.<\/p>\n\n\n\n<p>On the inductive dimension of subsets of some nonmetrizable manifolds. (1996) MSc Thesis, Moscow State University.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Analyzing Short Texts using Wordscores (with D. Paczay), submitted Vietoris thickenings and complexes are homotopy equivalent (with H. Adams and Z. Virk), submitted Simple polynomial equations over\u00a0(m\u00d7m)-matrices (with V. Chatyrko), Appl. Gen. Topol., accepted. Simple polynomial equations over&nbsp;(2\u00d72)-matrices (with V. &hellip; <a href=\"https:\/\/faculty.nipissingu.ca\/alexk\/publications\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":536,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"class_list":["post-27","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/pages\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/users\/536"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/comments?post=27"}],"version-history":[{"count":16,"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/pages\/27\/revisions"}],"predecessor-version":[{"id":281,"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/pages\/27\/revisions\/281"}],"wp:attachment":[{"href":"https:\/\/faculty.nipissingu.ca\/alexk\/wp-json\/wp\/v2\/media?parent=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}