Publications
2022

Some questions about dimension Dind.
Q & A in General Topology, 40 (2022) 19
2021

The (dis)connectedness of products of Hausdorff spaces in the box topology.
Comment.Math.Univ. Carolin. 62, 4 (2021) 483489

Some Property of Sets in the Real Line and the Lebesgue Measurability.
pAdic Numbers Ultrametric Anal. Appl. 13, 4 (2021) 320324

Countable dense homogeneity and Hattori spaces.
Q & A in General Topology 39 (2021) 7387 (with A. Karassev)

On subsets of R^n via positive integers as multipliers.
Topology Appl. 301 (2021) (with D. B. Shakhmatov)
2020

Topological groups all continuous automorphisms of which are open.
Topology Appl. 275 (2020) (with D. B. Shakhmatov)

Automorphism groups of dense subgroups of Rn.
Topology Appl. 275 (2020) (with D. B. Shakhmatov)
2019

Semigroups of pathological sets
Georgian Math. J. 26, 4 (2019) 515528
2017

Sets with the Baire property in topologies formed from a given topology and ideal of sets
Q & A in General Topology 35 (2017) 5976 (with V. Nyagahakwa)

On hereditarily reversible spaces
Topol. Appl. 225 (2017) 5366 (with SE. Han and Y. Hattori)

Reversible spaces and products
Topology Proc. 49 (2017) 317320 (with A. Karassev)
2016

On reversible and bijectively related topological spaces
Topol. Appl. 201 (2016) 432440 (with Y. Hattori)

The small inductive dimension of subsets of Alexandroff spaces
Filomat 30 (2016) 30073014 (with Y. Hattori and S.E. Han)
2015

Vitali selectors in topological groups and related semigroups of sets
Q & A in General Topology 33 (2015) 93102 (with V. Nyagahakwa)

The Algebra of Semigroups of Sets
Math. Scan. 116:2 (2015) 161170 (with M. Aigner and V. Nyagahakwa)

(Non)connectedness and (non)homogeneity
Topology Appl. 179 (2015) 122130 (with A. Karassev)
2014

Some remarks concerning semiT_1/2 spaces
Filomat 28:1 (2014) 2125 (with SY. Han and Y. Hattori)
2013

A poset of topologies on the set of real numbers
Comment. Math. Univ. Carolin. 54, (2013) 189196 (with Y. Hattori)

Small scattered topological invariants
Matematychni studii, 39 n 2 (2013) 212222 (with Y. Hattori)

The (dis) connectedness of products in the box topology
Q & A in General Topology 31 (2013), n 1, 1121 (with A. Karassev)

Maximal metrizable remainders of locally compact spaces
Topology Appl. 160 (2013), n 11, 12921297 (with A. Karassev)

On metrizable remainders of locally compact separable metrizable spaces
Houston J. Math, 39, n 3 (2013) 10671081 (with A. Karassev)

On countable families of sets without the Baire property
Colloq. Math. 133 (2013), 179187 (with M. Aigner and V. Nyagahakwa)
2012

On the classes of remainders of locally compact noncompact spaces
Acta Math. Hungar. 137 (2012) no. 4 231241 (with Y. Hattori)

Around a Hurewicz's formula
Topology Appl. 159 (2012), no. 6, 15361544 (with Y. Hattori)
2011
 On the families of sets without the Baire property generated by
Vitali sets
pAdic Numbers, Ultrametric Analysis and Appl., 3, 2 (2011), 100107 (with V. Nyagahakwa)
 On Vitali sets and their unions
Mat. Vesnik 63, 2, (2011), 8792
 On countable unions of nonmeager sets in hereditarily Lindelöf spaces
pAdic Numbers, Ultrametric Analysis and Appl., 3, 1 (2011), 16
2010
 Remainders in extensions and finite unions of locally compact sets
Acta Math. Hung. 128, 4, (2010) 344357 (with Y. Hattori)
 On the base dimension I for (compact) spaces
Q & A Gen.Topology, 28, 2 (2010), 173185 (with S.D. Iliadis and K.L. Kozlov)
 Topological transformation groups and Dugundji compacta
Mat. Sb., 201:1 (2010), 103128 (with K.L. Kozlov)
 On dimensional properties of generalized Smirnov spaces
Topol. Appl. 157 (2010), 711715 (with Y. Hattori)
2009
 Transfinite large inductive dimensions modulo absolute Borel classes
J. Math. Soc. Japan, 61, 2 (2009), 327344 (with Y. Hattori)
2008
 On properties of subsets of [0, w_c] x I
Q & A Gen. Topology 26 (2008) 97104
 Additive and product theorems for ind
Topol. Appl. 155 (2008) 22022210 (with Y. Hattori )
 Infinitedimensionality modulo absolute Borel classes
Bull. Polish Acad. Sc. 56, 2 (2008) 163176 (with Y. Hattori)
2007
 A remark on asymptotic dimension and digital dimension of finite metric spaces
Mat. studii 27, 1 (2007)100104 (with M. Zarichnyi)
 There is no upper bound of small transfinite compactness degree in metrizable spaces
Topol. Appl. 154 , 7 (2007) 13141320 (with Y. Hattori)
 Classical dimension theory
in the book: Open Problems in Topology II, Elsevier , 2007, 625 636
2006
 Subspaces of the Sorgenfrey line and their products
Tsukuba J. Math. 30, 2 (2006), 401414
 Partitions of spaces by locally compact subspaces
Houston J. Math. 32, 4 (2006) 10771091 (with Y. Hattori and H. Ohta)
2005
 On G compactifications
Math. Notes 78: 56 (2005) (with K. Kozlov)
 On the relationship between cmp and def for separable metrizable spaces
Topol. Appl. 152,3 (2005) 269274
 O brauerowoj razmernosti odnomernyh bikompaktov
Moscow Univ. Math. Bull.2 (2005) 2227 (with V.V. Fedorchuk)
 Some estimates of the inductive dimensions of the union of two sets
Topol. Appl 146147 (2005) 227238 (with M.G. Charalambous)
2004
 Ob odnom woprose de Groota
Moscow Univ. Math. Bull . 6 (2004) 5052 (with V.V. Fedorchuk)
 Notes on the inductive dimension Ind0
Top. Proc. Vol. 27 Summer 2002, 116 (with M.G. Charalambous)
 The behavior of dimension functions on unions of closed subsets
J. Math. Soc. Japan, vol. 56, 2 (2004) 489501 (with M.G. Charalambous and Y. Hattori)
2003
 Around the equality ind X = Ind X towards a unifying theorem
Topol. Appl. 131 (2003) 295302 (with Y. Hattori)
2002
 On dimensional properties of order totally paracompact spaces
Bull. Polish Acad. Sc. 50, 3 (2002) 255265 (with Y. Hattori)
 The maximal Gcompactifications of Gspaces with special actions
Proceedings of the 9th Prague Topological Symposium, 2001, 1521 (with K.L. Kozlov)
 On an approach for constructing compacta with different dimensions dim and ind
II, Topology Proceedings 25, Summer 2000, (2002) 4372 ( with K.L. Kozlov and B.A.Pasynkov )
 On contra$\teta$semicontinuous functions
Mem. Fac. Sci. Kochi Univ. Series A. Math. 23 (2002) 17 (with S. Jafari)
 On a question of de Groot and Nishura
Fund. Math. 172 (2002) 107115 (with Y. Hattori)
 On sum and product theorems for dimension Dind
Houston Math. Journal 28, 1 (2002), 119131 (with B.A. Pasynkov)
2001
 Estimations of small transfinite dimension in separable metrizable spaces
Tsukuba J. Math. 25, 2 (2001), 221228 (with Y. Hattori)
2000
 On factorization theorem for transfinite dimension dim_C
Scientiae Mathematicae 3, 3 (2000), 357366
 On an approach for constructing compacta with different dimensions dim and ind
Topology and its Appl. 107 (12) (2000) 3955 ( with K.L. Kozlov and B.A. Pasynkov )
 On conforming axiomatics
Topology and its Appl. 105 (2000) 3746
 Transfinite extension of Steinke's dimension
Acta Math. Hungarica, 88 (12) (2000) 105112 ( with F. G. Arenas and M.L. Puertas )
 On (transfinite) small inductive dimension of products
Comment. Math. Univ. Carolinae. 41, 3 (2000) 597603 ( with K.Kozlov )
 Continuum many Frechet types of hereditarily strongly infinitedimensional Cantor manifolds
Proc. Amer. Math. Soc. 128 (2000), 12071213 ( with E. Pol )
1999
 On finite sum theorems for transfinite inductive dimensions
Fund. Math. 162 (1999) 9198
 On locally rincomparable families of infinitedimensional Cantor manifolds
Comment. Math. Univ. Carolinae, 40, 1 (1999) 165173
 On compactifications of infinitedimensional spaces
Math. Scand. 84 (1999) 6270
 Dimension axioms and decomposing mappings
J. Math. Sci. (New York) (1999), no 3, 41094115
1997
 On dimension of products of infinitedimensional compacta
Siberian Math. J. 38, 4 (1997) 932942
1996
 Axiomatics of dimension D in the class of strongly countable dimensional compacta
Mat. Zametki 60, 6 (1996) 912918
 On the transfinite dimension axiomatics
Mat. studii 6 (1996) 119130
 The dimension problem for the product of infinitedimensional spaces
Topology, 2, J. Math. Sci. 78, 6 (1996) 633661
1995
 On the transfinite dimension dim and essential mappings
Top. Proc. 20 (1995) 6772
1994
 On ordinal products of topological spaces
Fund. Math. 144 (1994) 95117
1993
 Covariant functors and dimensional properties of infinitedimensional spaces
Q & A Gen. Topology, 11 (1993) 209213
 Decomposing mappings and transfinite dimensions
Filomat (Nis) 7 (1993) 6772
 On topological products and dimensions
Moscow Univ. Math. Bull. 48, 3 (1993) 2225 ( with B.A. Pasynkov)
1992
 Classification of compacta with property C
Q & A Gen. Topology 10 (1992) 154159
 Relatively weak infinite dimensions
General topology. Spaces and Mappings, Moscow State University, Moscow (1992 ) 8387
1991
 On the transfinite dimension dim
Q & A Gen. Topology 9 (1991) 177194
 Weakly infinitedimensional spaces
Russian Math. Surveys 46, 3 (1991) 191210
 Compact spaces with noncoincident dimensions
Trans. Moscow Math. Soc. 53 (1991) 199236
1990
 Spaces close to R^n
Siberian Math. J. 31, 1 (1990) 181183
1989
 Some sufficient conditions for chainability for compact spaces and their applications
General topology. Spaces and Mappings, Moscow State University, Moscow (1989) 129140
 On hereditarily indecomposable nonmetric continua
Mat. Zametki 46, 3 (1989) 122124
1987
 Analogs of Cantor manifolds for transfinite dimensions
Math. Notes 42, 1 (1987) 574576
1984
 On snake like bicompacta
Moscow Univ. Math. Bull. 39, 4 (1984) 1923
 On chainable and homogeneous compact spaces with noncoinciding dimensions
Russian Math. Surveys 39, 3 (1984) 201202
1983
 On inductive dimensions
Moscow Univ. Math. Bull. 38, 2 (1983) 610
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