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22A05 Structure of general topological groups (73 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
• Mantika, Gilbert; Temate-Tangang, Narcisse; Tieudjo, Daniel: The Ribes-Zalesskii property of some one relator groups. (English). Archivum Mathematicum, vol. 58 (2022), issue 1, pp. 35-47
• Wei, Changguo; Zhao, Xiangmei; Liu, Shudong: Pseudometrics on Ext-semigroups. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 435-451
• Comfort, W. W.; van Mill, Jan: Extremal pseudocompact Abelian groups: A unified treatment. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 197-217
• Megrelishvili, Michael; Shlossberg, Menachem: Free non-archimedean topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 273-312
• Dikranjan, D.; Toller, D.: Productivity of the Zariski topology on groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 219-237
• Cao, J.; Drozdowski, R.; Piotrowski, Z.: Weak continuity properties of topologized groups. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 133-148
• Hernández, Constancio; Tkachenko, Mikhail: The Lindelöf property and pseudo-$\aleph_1$-compactness in spaces and topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 4, pp. 677-692
• Banakh, Taras; Hryniv, Olena: Embedding topological semigroups into the hyperspaces over topological groups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 48 (2007), issue 2, pp. 3-18
• 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
• Tkachenko, M.: Homomorphic images of $\Bbb R$-factorizable groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 525-537
• 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
• Glöckner, Helge: Tensor products in the category of topological vector spaces are not associative. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 4, pp. 607-614
• 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
• Kontolatou, A.: The Cauchy extension of an ordered abelian group realized by $r$-valuations. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 61-69
• 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
• Bruguera, Montserrat; Chasco, María Jesús: Strong reflexivity of Abelian groups. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 213-224
• 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
• 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
• Malykhin, V. I.: Irresolvable countable spaces of weight less than $\frak C$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 1, pp. 181-185
• 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
• Hattori, Yasunao: Enlarging the convergence on the real line via metrizable group topologies. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 373-376
• Hernández, Constancio; Tkačenko, Michael: Subgroups of $\Bbb R$-factorizable groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 371-378
• Hejcman, Jan: On simple recognizing of bounded sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 149-156
• 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
• 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
• Turek, S.: Minimal dynamical systems for $\omega$-bounded groups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 35 (1994), issue 2, pp. 77-81
• 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
• Roll, J. Blair: Locally partially ordered groups. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 3, pp. 467-481
• 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
• Gożdnik, Slawomir; Wojtyński, Wojciech: Lie algebra of a family of one-parameter subgroups. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [47]-53
• 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
• Shakhmatov, Dmitriĭ B.: Dugundji spaces and topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 129-143
• Tkačenko, Michael G.: On dimension of locally pseudocompact groups and their quotients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 159-166
• Uspenskij, Vladimir Vladimirovich: On the group of isometries of the Urysohn universal metric space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 181-182
• Tkachenko, Mikhail G.: Compactness type properties in topological groups. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 324-341
• Wojtyński, Wojciech: The enveloping group of a lie algebra. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1989. pp. [355]-367
• Frič, Roman: Products of coarse convergence groups. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 285-290
• Alas, O. T.: On the number of compact subsets in topological groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 565-568
• Beattie, Ronald; Butzmann, Heinz-Peter: Sequentially determined convergence spaces. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 2, pp. 231-247
• Frič, Roman; Zanolin, Fabio: Fine convergence in free groups. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 134-139
• Hart, Klaas Pieter; Junnila, Heikki; van Mill, Jan: A Dowker group. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 799-810
• Tkachenko, Mikhail G.: On topologies of free groups. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 4, pp. 541-551
• Šmarda, Bohumil: Uniform normality of topological groups and $l$-groups. (English). Archivum Mathematicum, vol. 18 (1982), issue 2, pp. 101-109
• Guran, I. I.: Тoполoгия бесконечнoй cиммeтpической гpупы и уплoтнения. (Russian) [Topology of an infinite symmetric group and condensations]. Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 2, pp. 311-316
• Frič, Roman: On convergence spaces and groups. (English). Mathematica Slovaca, vol. 27 (1977), issue 4, pp. 323-330
• Šmarda, Bohumil: Connectivity in tl-groups. (English). Archivum Mathematicum, vol. 12 (1976), issue 1, pp. 1-7
• Marxen, Donald: Neighborhoods of the identity of the free abelian topological groups. (English). Mathematica Slovaca, vol. 26 (1976), issue 3, pp. 247-256
• Boseck, H.; Czichowski, G.: Structure of connected locally compact groups. (English). In: Novák, Josef (ed.): General topology and its relations to modern analysis and algebra IV, Proceedings of the fourth Prague topological symposium, 1976. Part B: Contributed Papers. Society of Czechoslovak Mathematicians and Physicist, Praha, 1977. pp. [63]-67
• Morris, Sidney A.; Kelly, N.: Varieties of Topological Groups Generated by Groups with Invariant Compact Neighbourhoods of the Identity. (English). Matematický časopis, vol. 25 (1975), issue 3, pp. 207-210
• Lamper, Milan: Complements in the lattice of all topologies of topological groups. (English). Archivum Mathematicum, vol. 10 (1974), issue 4, pp. 221-230
• Esterka, Jiří: On the $h$-topology in groups. (English). Archivum Mathematicum, vol. 10 (1974), issue 2, pp. 103-110
• Morris, Sidney A.: Remarks on Varieties of Topological Groups. (English). Matematický časopis, vol. 24 (1974), issue 1, pp. 7-14
• Binz, E.: Recent results in the functional analytic investigations of convergence spaces. (English). In: Novák, J. (ed.): General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the Third Prague Topological Symposium, 1971. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1972. pp. 67-72
• Novák, J.: On some problems concerning the convergence spaces and groups. (English). In: Franklin, S. P., Frolík, Z. and Koutník, V. (eds.): General Topology and Its Relations to Modern Analysis and Algebra. Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. [219]-229
• Rajagopalan, M.; Soundararajan, T.: Some properties of topological groups. (English). In: Franklin, S. P., Frolík, Z. and Koutník, V. (eds.): General Topology and Its Relations to Modern Analysis and Algebra. Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. [231]-233
• Soundararajan, T.: Some results on locally compact groups. (English). In: Franklin, S. P., Frolík, Z. and Koutník, V. (eds.): General Topology and Its Relations to Modern Analysis and Algebra. Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. [297]-298
• Soundararajan, T.: Totally dense subgroups of topological groups. (English). In: Franklin, S. P., Frolík, Z. and Koutník, V. (eds.): General Topology and Its Relations to Modern Analysis and Algebra. Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. 299-300
• Boseck, Helmut: Über die Einlagerung topologischer Gruppen in Kompakte. (German) [On the embedding of topological groups into compacts]. Archivum Mathematicum, vol. 2 (1966), issue 3, pp. 127-139