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54H11 Topological groups (70 articles)

• Tkachenko, Mikhail: A countably cellular topological group all of whose countable subsets are closed need not be $\mathbb{R}$-factorizable. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 1, pp. 127-135
• Spěvák, Jan: Module-valued functors preserving the covering dimension. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 3, pp. 377-399
• Fechete, Dorina; Fechete, Ioan: Quotient algebraic structures on the set of fuzzy numbers. (English). Kybernetika, vol. 51 (2015), issue 2, pp. 255-267
• Gabriyelyan, S. S.: On characterized subgroups of Abelian topological groups $X$ and the group of all $X$-valued null sequences. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 1, pp. 73-99
• Liu, Chuan: Paratopological (topological) groups with certain networks. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 1, pp. 111-119
• Lin, Shou; Tkachenko, Mikhail: Connected LCA groups are sequentially connected. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 263-272 Megrelishvili, Michael; Shlossberg, Menachem: Free non-archimedean topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 273-312
• Burke, Dennis; Tkachuk, Vladimir V.: Diagonals and discrete subsets of squares. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 1, pp. 69-82
• Ferrer, M.; Hernández, S.; Uspenskij, V.: The dual space of precompact groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 239-244
• Lin, Shou; Tkachenko, Mikhail: Connected LCA groups are sequentially connected. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 263-272 Megrelishvili, Michael; Shlossberg, Menachem: Free non-archimedean topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 273-312
• Tkachenko, M.: Cellularity and the index of narrowness in topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 2, pp. 309-315
• Kubiś, Wiesław; Rubin, Matatyahu: Extension and reconstruction theorems for the Urysohn universal metric space. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 1-29
• Cao, J.; Drozdowski, R.; Piotrowski, Z.: Weak continuity properties of topologized groups. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 133-148
• Arhangel'skii, Alexander: The Baire property in remainders of topological groups and other results. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 2, pp. 273-279
• Protasov, I. V.: Topologies on groups determined by right cancellable ultrafilters. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 1, pp. 135-139
• Khan, Abdul Rahim; Rowlands, Keith: On locally solid topological lattice groups. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 3, pp. 963-973
• Buzyakova, R. Z.; Tkachuk, V. V.; Wilson, R. G.: A quest for nice kernels of neighbourhood assignments. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 689-697
• García-Ferreira, S.; Sanchis, M.: Ultrafilter-limit points in metric dynamical systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 465-485
• Tkachenko, M.: Homomorphic images of $\Bbb R$-factorizable groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 525-537
• Ball, Richard N.; Hager, Anthony W.: Network character and tightness of the compact-open topology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 473-482
• van Mill, J.; Ridderbos, G. J.: Retral spaces and continua with the fixed point property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 661-668
• Okunev, Oleg: Fréchet property in compact spaces is not preserved by $M$-equivalence. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 4, pp. 747-749
• Banakh, T.: Cardinal characteristics of the ideal of Haar null sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 119-137
• Comfort, W. W.; Raczkowski, S. U.; Trigos-Arrieta, F. Javier: The dual group of a dense subgroup. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 509-533
• Hernández, Constancio; Tkachenko, Michael: Subgroups and products of $\Bbb R$-factorizable $P$-groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 153-167
• Arhangel'skii, A. V.: Perfect mappings in topological groups, cross-complementary subsets and quotients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 701-709
• Protasov, I. V.: Remarks on extremally disconnected semitopological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 343-347
• de Luna, Miguel López; Tkachuk, Vladimir V.: Čech-completeness and ultracompleteness in “nice spaces”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 515-524
• Tkachenko, M. G.: Complete $\aleph_0$-bounded groups need not be $\Bbb R$-factorizable. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 551-559
• Hernández, Constancio: Condensations of Tychonoff universal topological algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 529-533
• Arhangel'skii, A. V.; Hušek, M.: Extensions of topological and semitopological groups and the product operation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 173-186
• Alas, Ofelia T.; Tkachenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.; Yaschenko, Ivan V.: On dense subspaces satisfying stronger separation axioms. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 15-28
• Vaughan, Jerry E.: Two spaces homeomorphic to $Seq(p)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 209-218
• Banakh, T.: Locally minimal topological groups and their embeddings into products of $o$-bounded groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 811-815
• Arhangel'skii, A.: Moscow spaces, Pestov-Tkačenko Problem, and $C$-embeddings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 3, pp. 585-595
• Arhangel'skii, A. V.: On topological and algebraic structure of extremally disconnected semitopological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 803-810
• Song, Yan-Kui: Absolute countable compactness of products and topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 367-372
• Alas, O. T.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.: Connectedness and local connectedness of topological groups and extensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 735-753
• Arhangel'skii, A. V.: On a theorem of W.W. Comfort and K.A. Ross. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 1, pp. 133-151
• Banaschewski, B.; Vermeulen, J. J. C.: On the completeness of localic groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 293-307
• Herrlich, Horst; Hušek, Miroslav: Productivity of coreflective classes of topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 551-560
• Hattori, Yasunao: Enlarging the convergence on the real line via metrizable group topologies. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 373-376
• Tomita, Artur Hideyuki: The existence of initially $\omega_1$-compact group topologies on free Abelian groups is independent of ZFC. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 401-413
• Hernández, Constancio; Tkačenko, Michael: Subgroups of $\Bbb R$-factorizable groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 371-378
• Hušek, Miroslav: Mazur-like topological linear spaces and their products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 157-164
• Hejcman, Jan: On simple recognizing of bounded sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 149-156
• Frič, Roman; Zanolin, Fabio: Relatively coarse sequential convergence. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 3, pp. 395-408
• Tkačenko, M. G.; Tkachuk, V. V.; Uspenskii, V. V.; Wilson, R. G.: In quest of weaker connected topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 825-841
• Tomita, Artur Hideyuki: On finite powers of countably compact groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 617-626
• Simon, Petr: Rationals as a non-trivial complete convergence group. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 83-92
• Arhangel'skii, A. V.; Just, W.; Plebanek, G.: Sequential continuity on dyadic compacta and topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 775-790
• Vaughan, Jerry E.: A countably compact, separable space which is not absolutely countably compact. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 197-201
• Villegas-Silva, Luis Miguel: On resolvable spaces and groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 579-584
• Uspenskii, V. V.: On the Suslin number of subgroups of products of countable groups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 36 (1995), issue 2, pp. 85-87
• Megrelishvili, Michael: Equivariant completions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 539-547
• Tkačenko, Michael G.: $M$-mappings make their images less cellular. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 553-563
• Novák, Josef: Convergences ${\frak L}\sp H\sb S$ for the group of real numbers. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 15-25
• Burzyk, Józef: An example of a group convergence with unique sequential limits which cannot be associated with a Hausdorff topology. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 7-14
• Frič, Roman: $L$-groups versus $k$-groups. (English). Mathematica Bohemica, vol. 118 (1993), issue 2, pp. 113-121
• Burzyk, Jósef: On $K$-sequences. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 1-6
• Korovin, Alexander V.: Continuous actions of pseudocompact groups and axioms of topological group. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 335-343
• Baars, Jan: Equivalence of certain free topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 125-130
• Kato, Hisao: A note on embeddings manifolds into topological groups preserving dimensions. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 4, pp. 619-622
• Jakubík, Ján: Sequential convergences in $\ell$-groups without Urysohn’s axiom. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 101-116
• Jakubík, Ján: Sequential convergences on free lattice ordered groups. (English). Mathematica Bohemica, vol. 117 (1992), issue 1, pp. 48-54
• Frič, R.; Zanolin, F.: Strict completions of $\cal L_0^*$-groups. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 4, pp. 589-598
• Shakhmatov, Dmitrii B.: On zero-dimensionality of subgroups of locally compact groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 581-582
• Frič, Roman; Zanolin, Fabio: Coarse sequential convergence in groups, etc. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 3, pp. 459-467
• Shakhmatov, Dmitriĭ B.: Dugundji spaces and topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 129-143
• Christensen, J. P. R.: Measure theoretic zero sets in infinite dimensional spaces and differentiability of Lipschitz mappings. (English). In: Frolík, Z. (ed.): Abstracta. 5th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1977. pp. 13
• Sears, Michael: Topologies on the Group of Self Homeomorphisms of the Cantor Set. (English). Matematický časopis, vol. 21 (1971), issue 3, pp. 227-232