Chatyrko, Vitalij A.; Shakhmatov, Dmitri B. Topological groups all continuous automorphisms of which are open. (English) Zbl 1437.22001 Topology Appl. 275, Article ID 107051, 18 p. (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 22A05 20K30 22B05 22D05 46A30 54A10 54D45 54H11 PDFBibTeX XMLCite \textit{V. A. Chatyrko} and \textit{D. B. Shakhmatov}, Topology Appl. 275, Article ID 107051, 18 p. (2020; Zbl 1437.22001) Full Text: DOI arXiv
Shakhmatov, Dmitri; Shibakov, Alexander Countably compact groups and sequential order. (English) Zbl 1440.54015 Topology Appl. 270, Article ID 106943, 33 p. (2020). Reviewer: Vinicius Rodrigues (São Paulo) MSC: 54D55 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{A. Shibakov}, Topology Appl. 270, Article ID 106943, 33 p. (2020; Zbl 1440.54015) Full Text: DOI arXiv
Shakhmatov, Dmitri; Yañez, Víctor Hugo The impact of the Bohr topology on selective pseudocompactness. (English) Zbl 1429.22003 Topology Appl. 264, 498-506 (2019). Reviewer: K. P. Hart (Delft) MSC: 22A05 22D35 54D30 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{V. H. Yañez}, Topology Appl. 264, 498--506 (2019; Zbl 1429.22003) Full Text: DOI arXiv
Shakhmatov, Dmitri; Yañez, Víctor Hugo SSGP topologies on free groups of infinite rank. (English) Zbl 1417.22004 Topology Appl. 259, 384-410 (2019). Reviewer: Miroslav Repický (Košice) MSC: 22A05 03E99 06A06 20E05 54E35 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{V. H. Yañez}, Topology Appl. 259, 384--410 (2019; Zbl 1417.22004) Full Text: DOI arXiv
Shakhmatov, Dmitri; Yañez, Víctor Hugo SSGP topologies on abelian groups of positive finite divisible rank. (English) Zbl 1417.22003 Fundam. Math. 244, No. 2, 125-145 (2019). Reviewer: Miroslav Repický (Košice) MSC: 22A05 03E99 06A06 20K27 54E35 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{V. H. Yañez}, Fundam. Math. 244, No. 2, 125--145 (2019; Zbl 1417.22003) Full Text: DOI arXiv
Shakhmatov, Dmitri; Yañez, Víctor Hugo Selectively pseudocompact groups without infinite separable pseudocompact subsets. (English) Zbl 1432.22004 Axioms 7, No. 4, Paper No. 86, 23 p. (2018). MSC: 22A05 54A20 54D30 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{V. H. Yañez}, Axioms 7, No. 4, Paper No. 86, 23 p. (2018; Zbl 1432.22004) Full Text: DOI arXiv OA License
Dikranjan, Dikran; Shakhmatov, Dmitri Characterizing Lie groups by controlling their zero-dimensional subgroups. (English) Zbl 1393.22006 Forum Math. 30, No. 2, 295-320 (2018). Reviewer: Mihail I. Ursul (Oradea) MSC: 22E15 22C05 22D05 22E40 22E99 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{D. Shakhmatov}, Forum Math. 30, No. 2, 295--320 (2018; Zbl 1393.22006) Full Text: DOI arXiv
Dorantes-Aldama, Alejandro; Shakhmatov, Dmitri Selectively sequentially pseudocompact group topologies on torsion and torsion-free abelian groups. (English) Zbl 1373.22004 Topology Appl. 230, 562-577 (2017). MSC: 22A10 22C05 54A20 54D30 54H11 PDFBibTeX XMLCite \textit{A. Dorantes-Aldama} and \textit{D. Shakhmatov}, Topology Appl. 230, 562--577 (2017; Zbl 1373.22004) Full Text: DOI arXiv
Ferrer, Maria Vicenta; Hernández, Salvador; Shakhmatov, Dmitri A countable free closed non-reflexive subgroup of \(\mathbb {Z}^{\mathfrak {c}}\). (English) Zbl 1371.22004 Proc. Am. Math. Soc. 145, No. 8, 3599-3605 (2017). Reviewer: Jorge Galindo (Castellón) MSC: 22A25 20C15 20K30 22A05 54B10 54D30 54H11 PDFBibTeX XMLCite \textit{M. V. Ferrer} et al., Proc. Am. Math. Soc. 145, No. 8, 3599--3605 (2017; Zbl 1371.22004) Full Text: DOI arXiv
Dorantes-Aldama, Alejandro; Shakhmatov, Dmitri Selective sequential pseudocompactness. (English) Zbl 1367.54015 Topology Appl. 222, 53-69 (2017). Reviewer: Shing So (Warrensburg) MSC: 54D30 20A05 20C05 54A20 54H11 PDFBibTeX XMLCite \textit{A. Dorantes-Aldama} and \textit{D. Shakhmatov}, Topology Appl. 222, 53--69 (2017; Zbl 1367.54015) Full Text: DOI arXiv
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan Direct sums and products in topological groups and vector spaces. (English) Zbl 1335.22004 J. Math. Anal. Appl. 437, No. 2, 1257-1282 (2016). Reviewer: Miroslav Repický (Košice) MSC: 22A10 18A30 20K25 40A05 PDFBibTeX XMLCite \textit{D. Dikranjan} et al., J. Math. Anal. Appl. 437, No. 2, 1257--1282 (2016; Zbl 1335.22004) Full Text: DOI arXiv
Dikranjan, Dikran; Shakhmatov, Dmitri Metrization criteria for compact groups in terms of their dense subgroups. (English) Zbl 1283.22004 Fundam. Math. 221, No. 2, 161-187 (2013). Reviewer: Salvador Hernández (Castellon) MSC: 22C05 22D35 54D30 54D65 54E35 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{D. Shakhmatov}, Fundam. Math. 221, No. 2, 161--187 (2013; Zbl 1283.22004) Full Text: DOI arXiv
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan Productivity of sequences with respect to a given weight function. (English) Zbl 1332.22001 Topology Appl. 158, No. 3, 298-324 (2011). MSC: 22A10 54A20 54H11 PDFBibTeX XMLCite \textit{D. Dikranjan} et al., Topology Appl. 158, No. 3, 298--324 (2011; Zbl 1332.22001) Full Text: DOI arXiv
Shakhmatov, Dmitri; Spěvák, Jan Group-valued continuous functions with the topology of pointwise convergence. (English) Zbl 1195.54040 Topology Appl. 157, No. 8, 1518-1540 (2010). Reviewer: James V. Whittaker (Vancouver) MSC: 54C35 22A05 46E10 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov} and \textit{J. Spěvák}, Topology Appl. 157, No. 8, 1518--1540 (2010; Zbl 1195.54040) Full Text: DOI arXiv
Dikranjan, Dikran; Shakhmatov, Dmitri Quasi-convex density and determining subgroups of compact Abelian groups. (English) Zbl 1178.22005 J. Math. Anal. Appl. 363, No. 1, 42-48 (2010). MSC: 22D05 22A05 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{D. Shakhmatov}, J. Math. Anal. Appl. 363, No. 1, 42--48 (2010; Zbl 1178.22005) Full Text: DOI arXiv
Shakhmatov, Dmitri Building suitable sets for locally compact groups by means of continuous selections. (English) Zbl 1165.22006 Topology Appl. 156, No. 7, 1216-1223 (2009). Reviewer: Pekka Salmi (Oulu) MSC: 22D05 22A05 22C05 54A25 54B05 54B35 54C60 54C65 54D30 54D45 54H11 PDFBibTeX XMLCite \textit{D. Shakhmatov}, Topology Appl. 156, No. 7, 1216--1223 (2009; Zbl 1165.22006) Full Text: DOI arXiv
Dikranjan, Dikran; Shakhmatov, Dmitri; Spěvák, Jan NSS and TAP properties in topological groups close to being compact. arXiv:0909.2381 Preprint, arXiv:0909.2381 [math.GN] (2009). MSC: 22A05 BibTeX Cite \textit{D. Dikranjan} et al., ``NSS and TAP properties in topological groups close to being compact'', Preprint, arXiv:0909.2381 [math.GN] (2009) Full Text: arXiv OA License
Shakhmatov, Dmitri Convergent sequences in minimal groups. arXiv:0901.0175 Preprint, arXiv:0901.0175 [math.GN] (2009). MSC: 22A05 22C05 54A10 54A20 54A25 54D25 54H11 BibTeX Cite \textit{D. Shakhmatov}, ``Convergent sequences in minimal groups'', Preprint, arXiv:0901.0175 [math.GN] (2009) Full Text: arXiv OA License
Dikranjan, Dikran; Shakhmatov, Dmitri Forcing hereditarily separable compact-like group topologies on Abelian groups. (English) Zbl 1068.22001 Topology Appl. 151, No. 1-3, 2-54 (2005). Reviewer: Salvador Hernández (Castellon) MSC: 22A05 03E35 03E99 54A20 54A35 54D05 54D10 54D20 54D30 54D65 54G15 54G99 54H11 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{D. Shakhmatov}, Topology Appl. 151, No. 1--3, 2--54 (2005; Zbl 1068.22001) Full Text: DOI
Fujita, Hiroshi; Shakhmatov, Dmitri A characterization of compactly generated metric groups. (English) Zbl 1010.54044 Proc. Am. Math. Soc. 131, No. 3, 953-961 (2003). Reviewer: Salvador Hernández (Castellon) MSC: 54H11 22A05 PDFBibTeX XMLCite \textit{H. Fujita} and \textit{D. Shakhmatov}, Proc. Am. Math. Soc. 131, No. 3, 953--961 (2003; Zbl 1010.54044) Full Text: DOI
Shakhmatov, Dmitri Convergence in the presence of algebraic structure. (English) Zbl 1029.54003 Hušek, Miroslav (ed.) et al., Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Amsterdam: Elsevier. 463-484 (2002). Reviewer: Roman Frič (Košice) MSC: 54A20 54H11 54-02 54A25 54A35 PDFBibTeX XMLCite \textit{D. Shakhmatov}, in: Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19--25, 2001. Amsterdam: Elsevier. 463--484 (2002; Zbl 1029.54003)
Fujita, Hiroshi; Shakhmatov, Dmitri Topological groups with dense compactly generated subgroups. (English) Zbl 1024.54025 Appl. Gen. Topol. 3, No. 1, 85-89 (2002). Reviewer: Mihail I.Ursul (Oradea) MSC: 54H11 22A05 PDFBibTeX XMLCite \textit{H. Fujita} and \textit{D. Shakhmatov}, Appl. Gen. Topol. 3, No. 1, 85--89 (2002; Zbl 1024.54025) Full Text: DOI
Pestov, Vladimir G.; Shakhmatov, Dmitri B. A relatively free topological group that is not varietal free. (English) Zbl 0901.22002 Colloq. Math. 77, No. 1, 1-8 (1998). Reviewer: M.I.Ursul (Oradea) MSC: 22A05 54F45 20E10 54H11 PDFBibTeX XMLCite \textit{V. G. Pestov} and \textit{D. B. Shakhmatov}, Colloq. Math. 77, No. 1, 1--8 (1998; Zbl 0901.22002) Full Text: DOI EuDML
Nogura, T.; Shakhmatov, D.; Tanaka, Y. \(\alpha_4\)-property versus \(A\)-property in topological spaces and groups. (English) Zbl 0902.22001 Stud. Sci. Math. Hung. 33, No. 4, 351-362 (1997). Reviewer: Vasile Campian (Cluj-Napoca) MSC: 22A05 54A05 54H11 PDFBibTeX XMLCite \textit{T. Nogura} et al., Stud. Sci. Math. Hung. 33, No. 4, 351--362 (1997; Zbl 0902.22001)
Shakhmatov, D.; Pelant, Jan; Watson, S. A universal complete metric abelian group of a given weight. (English) Zbl 0887.54032 Császár, Á. (ed.), Topology with applications. Proceedings of the 7th colloquium, Szekszárd, Hungary, August 23–27, 1993. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 4, 431-439 (1995). Reviewer: Lj.D.Kočinac (Aleksandrovać) MSC: 54H11 54E50 22A05 PDFBibTeX XMLCite \textit{D. Shakhmatov} et al., Bolyai Soc. Math. Stud. 4, 431--439 (1995; Zbl 0887.54032)
Shakhmatov, Dmitri B. A note on transfinite inductive dimensions in topological groups. (English) Zbl 0823.22001 Topology Appl. 54, No. 1-3, 213-220 (1993). Reviewer: J.van Mill (Amsterdam) MSC: 22A05 54F45 54H11 54D05 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Topology Appl. 54, No. 1--3, 213--220 (1993; Zbl 0823.22001) Full Text: DOI
Nogura, Tsugunori; Shakhmatov, Dmitri B.; Tanaka, Yoshio Metrizability of topological groups having weak topologies with respect to good covers. (English) Zbl 0808.54026 Topology Appl. 54, No. 1-3, 203-212 (1993). MSC: 54H11 22A05 54E35 54A20 54D55 54B05 54E45 PDFBibTeX XMLCite \textit{T. Nogura} et al., Topology Appl. 54, No. 1--3, 203--212 (1993; Zbl 0808.54026) Full Text: DOI
Dikranjan, Dikran N.; Shakhmatov, Dmitrij B. Compact-like totally dense subgroups of compact groups. (English) Zbl 0781.54018 Proc. Am. Math. Soc. 114, No. 4, 1119-1129 (1992). MSC: 54D25 22C05 54A35 54H11 PDFBibTeX XMLCite \textit{D. N. Dikranjan} and \textit{D. B. Shakhmatov}, Proc. Am. Math. Soc. 114, No. 4, 1119--1129 (1992; Zbl 0781.54018) Full Text: DOI
Malykhin, V. I.; Shakhmatov, D. B. Cartesian products of Fréchet topological groups and function spaces. (English) Zbl 0764.54016 Acta Math. Hung. 60, No. 3-4, 207-215 (1992). Reviewer: M.V.Matveev (Moskva) MSC: 54D55 54H11 54C35 03E50 PDFBibTeX XMLCite \textit{V. I. Malykhin} and \textit{D. B. Shakhmatov}, Acta Math. Hung. 60, No. 3--4, 207--215 (1992; Zbl 0764.54016) Full Text: DOI
Shakhmatov, Dmitrij B. Dugundji spaces and topological groups. (English) Zbl 0721.54014 Commentat. Math. Univ. Carol. 31, No. 1, 129-143 (1990). Reviewer: L.N.Stoyanov (Sofia) MSC: 54D30 54C25 22A05 54H11 54C15 54C20 54C60 22A10 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Commentat. Math. Univ. Carol. 31, No. 1, 129--143 (1990; Zbl 0721.54014) Full Text: EuDML
Dikranjan, D. N.; Shakhmatov, D. B. Products of minimal abelian groups. (English) Zbl 0685.22001 Math. Z. 204, No. 4, 583-603 (1990). Reviewer: D.Dikranjan MSC: 22A05 20K45 54A10 PDFBibTeX XMLCite \textit{D. N. Dikranjan} and \textit{D. B. Shakhmatov}, Math. Z. 204, No. 4, 583--603 (1990; Zbl 0685.22001) Full Text: DOI EuDML
Dikranjan, D. N.; Shakhmatov, D. B. Critical power of minimality of topological groups close to being compact. (English) Zbl 0735.22001 C. R. Acad. Bulg. Sci. 43, No. 10, 13-15 (1990). Reviewer: L.Stoyanov (Sofia) MSC: 22A05 PDFBibTeX XMLCite \textit{D. N. Dikranjan} and \textit{D. B. Shakhmatov}, C. R. Acad. Bulg. Sci. 43, No. 10, 13--15 (1990; Zbl 0735.22001)
Shakhmatov, Dmitrii B. Zerodimensionality of free topological groups and topological groups with noncoinciding dimensions. (English) Zbl 0759.54023 Bull. Pol. Acad. Sci., Math. 37, No. 7-12, 497-506 (1989). Reviewer: W.W.Comfort (Middletown) MSC: 54H11 54F45 22A05 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Bull. Pol. Acad. Sci., Math. 37, No. 7--12, 497--506 (1989; Zbl 0759.54023)
Shakhmatov, D. B. A problem of coincidence of dimensions in topological groups. (English) Zbl 0687.54026 Topology Appl. 33, No. 1, 105-113 (1989). MSC: 54F45 22A05 54D20 54D45 54D30 54G20 22C05 54-02 22-02 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Topology Appl. 33, No. 1, 105--113 (1989; Zbl 0687.54026) Full Text: DOI
Shakhmatov, D. B. Closed embeddings into pseudocompact spaces preserving the covering dimension. (English. Russian original) Zbl 0651.54006 Mosc. Univ. Math. Bull. 43, No. 1, 57-59 (1988); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 1, 69-71 (1988). Reviewer: I.Ivanšić MSC: 54C45 54C25 54F45 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Mosc. Univ. Math. Bull. 43, No. 1, 57--59 (1988; Zbl 0651.54006); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 1, 69--71 (1988)
Pestov, V. G.; Shakhmatov, D. B. Not every topological group with a countable network is a continuous homomorphic image of a topological group with a countable base. (English) Zbl 0613.22001 Mosc. Univ. Math. Bull. 41, No. 3, 92-95 (1986). MSC: 22A05 54A25 54H13 22A30 PDFBibTeX XMLCite \textit{V. G. Pestov} and \textit{D. B. Shakhmatov}, Mosc. Univ. Math. Bull. 41, No. 3, 92--95 (1986; Zbl 0613.22001)
Shakhmatov, D. B. Precalibers of \(\sigma\)-compact topological groups. (English. Russian original) Zbl 0605.22003 Math. Notes 39, 465-470 (1986); translation from Mat. Zametki 39, No. 6, 859-868 (1986). Reviewer: M.G.Tkachenko MSC: 22A05 54A25 03E35 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Math. Notes 39, 465--470 (1986; Zbl 0605.22003); translation from Mat. Zametki 39, No. 6, 859--868 (1986) Full Text: DOI
Pestov, V. G.; Shakhmatov, D. B. The continuous homomorphic maps of the groups with countable base do not exhaust all groups with countable network. (Russian) Zbl 0598.22004 Vestn. Mosk. Univ., Ser. I 1986, No. 3, 98-101 (1986). Reviewer: M.G.Tkachenko MSC: 22A05 54A25 54H13 22A30 PDFBibTeX XMLCite \textit{V. G. Pestov} and \textit{D. B. Shakhmatov}, Vestn. Mosk. Univ., Ser. I 1986, No. 3, 98--101 (1986; Zbl 0598.22004)
Shakhmatov, D. B. Character and pseudocharacter in minimal topological groups. (English. Russian original) Zbl 0594.22001 Math. Notes 38, 1003-1006 (1985); translation from Mat. Zametki 38, No. 6, 908-914 (1985). Reviewer: M.G.Tkachenko MSC: 22A05 54A25 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Math. Notes 38, 1003--1006 (1985; Zbl 0594.22001); translation from Mat. Zametki 38, No. 6, 908--914 (1985) Full Text: DOI
Shakhmatov, D. B. Embeddings into topological fields and the construction of a field the space of which is not normal. (Russian. English summary) Zbl 0568.54029 Commentat. Math. Univ. Carol. 24, 525-540 (1983). Reviewer: M.G.Tkachenko MSC: 54H13 54D15 54A25 PDFBibTeX XMLCite \textit{D. B. Shakhmatov}, Commentat. Math. Univ. Carol. 24, 525--540 (1983; Zbl 0568.54029) Full Text: EuDML