Publications

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 (m×m)-matrices (with V. Chatyrko), Appl. Gen. Topol., accepted.

Simple polynomial equations over (2×2)-matrices (with V. Chatyrko), Appl. Gen. Topol. 27, no. 1 (2026), 24202.

On structural numbers of topological spaces, (with V. Chatyrko), Mathematica Slovaca, 75, (2025), no. 5, 1241-1248.

On discrete homogeneity (with V. Chatyrko), General topology and related fields, RIMS Kyoto University, 2024, 14-21.

Strongly locally homogeneous generalized continua of finite cohomological dimension (with P.Krupski, V. Valov, and V. Todorov), Topology Appl., 348, 2024.

On (Theta-)discrete homogeneous spaces, (with V. Chatyrko), Mathematica Slovaca, 73, no. 6, 2023, 1587-1596.

Discrete homogeneity and ends of manifolds, (with V. Chatyrko), Topology Appl. 336 (2023).

On homogeneity of Ntau, (with E. Shchepin and V. Valov), Topology Appl. 329 (2023).

Homological characterizations of Q-manifolds and l2-manifolds, (with V. Valov), Fund. Math., 59 (2022), 255-269.

Countable dense homogeneity and Hattori spaces, (with V. Chatyrko), Q&A, 39, no. 2 (2021), 73-87.

Admissible topologies for groups of homeomorphisms and substitutions of groups of G-spaces,(with K. Kozlov), Topology Appl., 275 (2020).

Dimension and decomposition complexity properties of tree-graded spaces, (with N. Brodskiy), preprint.

Reversible spaces and products, (with V. Chatyrko), Topology Proc., 49 (2017), 317-320.

Base normal inductive dimension I of cubes, (with K.L. Kozlov), Fundamental and Applied Math., 20 (2015), no. 2, 113-124.

Computation of inductive dimensions of product of compacta, (with K.L. Kozlov), Topology Appl., 179 (2015), 131-147.

(Non)connectedness and (non)homogeneity, (with V. Chatyrko), Topology Appl., 179 (2015), 122-130

Alexandroff manifolds and homogeneous continua, (with V. Todorov and V. Valov), Canad. Math. Bull., 57 (2014), no. 2, 335-343.

Maximal metrizable remainders of locally compact separable metrizable spaces, (with V. Chatyrko), Topology Appl. 160 (2013), 1292-1297.

On metrizable remainders of locally compact separable metrizable spaces, (with V. Chatyrko), Houston J. Math. 39 (4), 2013, 1067-1081.

The (dis)connectedness of products in the box topology, (with V. Chatyrko), Q&A 31 (2013), 11-21.

Generalized Cantor manifolds and homogeneity, (with P. Krupski, V. Valov, and V. Todorov), Houston J. Math. 38 (2012), no. 2, 583-609.

On homotopical and homological Zn, (with T. Banakh and R. Cauty), Topology Proc. 38 (2011) 29–82.

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.

Equivalent metrics and spans of graphs, (with L. Hoehn), Colloq. Math. 114 (2009), no. 1, 135-153.

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).

Michael’s problem and weakly infinite-dimensional spaces, Topology Appl. 155 (2008), no. 15, 1694-1698.

Root closed function algebras on compacta of large
dimension, (with N. Brodskiy, J. Dydak, and K. Kawamura), Proc. Am. Math. Soc. 135 (2007), 587-596.

Extension dimension and quasi-finite CW-complexes, (with V. Valov), Topology Appl. 153 (2006), no. 17, 3241-3254.

Universal absolute extensors in extension theory, (with V. Valov), Proc. Amer. Math. Soc. 134 (2006), no. 8, 2473-2478.

On two problems in extension theory, Topology Appl. 153 (2006), no. 10, 1609-1613.

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.

The Urysohn identity for closed subsets of some nonmetrizable manifolds, Topology Proc. 28 (2004), no. 2, 579-585.

Real rank and squaring mapping for unital C*-algebras, (with A. Chigogidze and M. Rordam). Proc. Am. Math. Soc. 132 (2004), 783-788.

Topological model categories generated by finite complexes, (with A. Chigogidze). Monatshefte fur Mathematik 139 (2003), no. 2, 129-150.

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.

On [L]-homotopy groups. JP Journal of Geometry and Topology 3 (2001), no. 3, 301-310.

Topological semigroups and universal spaces related to extension dimension (with A. Chigogidze and M. Zarichnyi). Mat. Stud. 16, no. 2 (2001), 195-198.

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.

On the inductive dimension of subsets of some nonmetrizable manifolds. Vestnik Moskov. Univ. Ser. I Mat. Mekh. (1997) no. 5, 11-14 (Russian).

Topology in North Bay: some problems in continuum theory, dimension theory, and selections, (with V. Valov and M. Tuncali), a chapter in the “Open Problems in Topology II” (Edited by Elliott Pearl), 2007, Elsevier

On extension dimension and [L]-homotopy. (2002) PhD Thesis, University of Saskatchewan.

On the inductive dimension of subsets of some nonmetrizable manifolds. (1996) MSc Thesis, Moscow State University.