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54D10 Lower separation axioms ($T_0$--$T_3$, etc.) (63 articles)

• Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Madriz-Mendoza, Maira: Aposyndesis in $\mathbb{N}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 3, pp. 359-371
• Csirmaz, Laszlo: Infinite probabilistic secret sharing. (English). Kybernetika, vol. 59 (2023), issue 2, pp. 179-197
• Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Madriz-Mendoza, Maira: The common division topology on $\mathbb{N}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 3, pp. 329-349
• Lu, Jing; Zhao, Bin; Wang, Kaiyun; Zhao, Dongsheng: Quasicontinuous spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 4, pp. 513-526
• Alberto-Domínguez, José del Carmen; Acosta, Gerardo; Delgadillo-Piñón, Gerardo: Totally Brown subsets of the Golomb space and the Kirch space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 2, pp. 189-219
• Chatyrko, Vitalij A.: The (dis)connectedness of products of Hausdorff spaces in the box topology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 4, pp. 483-489
• Kula, Muammer; Özkan, Samed: $T_{2}$ and $T_{3}$ objects at $p$ in the category of proximity spaces. (English). Mathematica Bohemica, vol. 145 (2020), issue 2, pp. 177-190
• Picado, Jorge; Pultr, Aleš: Axiom $T_D$ and the Simmons sublocale theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 60 (2019), issue 4, pp. 541-551
• Basile, Fortunata Aurora; Carlson, Nathan: On the cardinality of Urysohn spaces and weakly $H$-closed spaces. (English). Mathematica Bohemica, vol. 144 (2019), issue 3, pp. 325-336
• Bella, Angelo; Costantini, Camillo: Further remarks on KC and related spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 3, pp. 417-426
• Moon, Mi Ae; Cho, Myung Hyun; Kim, Junhui: On AP spaces in concern with compact-like sets and submaximality. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 2, pp. 293-302
• Casarrubias-Segura, Fidel; Hernández-Hernández, Fernando; Tamariz-Mascarúa, Ángel: Martin's Axiom and $\omega$-resolvability of Baire spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 3, pp. 519-540
• Boonpok, Chawalit; Khampakdee, Jeeranunt: Between closed sets and generalized closed sets in closure spaces. (English). Acta Mathematica Universitatis Ostraviensis, vol. 16 (2008), issue 1, pp. 3-14
• Angoa, J.; Ibarra, M.; Tamariz-Mascarúa, A.: On $\omega$-resolvable and almost-$\omega$-resolvable spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 485-508
• Juhász, I.; Szentmiklóssy, Z.; Szymański, A.: Eberlein spaces of finite metrizability number. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 2, pp. 291-301
• Kawaguchi, Shinji: Some versions of relative paracompactness and their absolute embeddings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 147-166
• El-Shafei, M. E.: Pairwise weakly Hausdorff spaces. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 281-287
• Caldas, Miguel; Navalagi, Govindappa: On weak forms of preopen and preclosed functions. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 119-128
• Murtinová, Eva: Remarks on dense subspaces. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 3, pp. 807-815
• Das, Pratulananda; Rashid, Md. Mamun Ar: $g^\ast $-closed sets and a new separation axiom in Alexandroff spaces. (English). Archivum Mathematicum, vol. 39 (2003), issue 4, pp. 299-307
• Alas, Ofelia T.; Wilson, Richard G.: Spaces in which compact subsets are closed and the lattice of $T_1$-topologies on a set. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 641-652
• Christodoulou, Stavros: Initially $\kappa$-compact spaces for large $\kappa$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 319-325
• Keremedis, Kyriakos; Tachtsis, Eleftherios: On the extensibility of closed filters in T$_1$ spaces and the existence of well orderable filter bases. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 343-353
• 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
• Fedeli, Alessandro: On the cardinality of functionally Hausdorff spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 797-801
• Arhangel'skii, A. V.; Yaschenko, I. V.: Relatively compact spaces and separation properties. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 343-348
• Dube, Themba: A short note on separable frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 375-377
• Fedeli, Alessandro: Two cardinal inequalities for functionally Hausdorff spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 365-369
• Baran, Mehmet: The notion of closedness in topological categories. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 383-395
• Clementino, Maria Manuel: $\Cal T_0$- and $\Cal T_1$-reflections. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 493-504
• Schröder, J.: Natural sinks on $Y_\beta$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 173-179
• Chen, Xiangdong: On binary coproducts of frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 699-712
• Grulović, Milan Z.; Kurilić, Miloš S.: On the preservation of separation axioms in products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 713-721
• Frič, R.; Kent, D. C.: Regular $\cal L$-spaces. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 475-486
• Frič, Roman; Kent, D. C.: Regularity and extension of maps. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 349-357
• Turzański, Marian: Strong sequences and the weight of regular spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 557-561
• Paseka, Jan; Šmarda, Bohumil: $T_2$-frames and almost compact frames. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 385-402
• Lowen-Colebunders, Eva; Szabó, Zoltán Gábor: On the simplicity of some categories of closure spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 95-98
• Paseka, Jan; Šmarda, Bohumil: Semiregular frames. (English). Archivum Mathematicum, vol. 26 (1990), issue 3, pp. 223-228
• Stramaccia, Luciano: $S(n)$-spaces and $H$-sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 221-226
• Ploščica, Miroslav: Topologies compatible with order and separation axioms. (English). Archivum Mathematicum, vol. 24 (1988), issue 4, pp. 223-225
• Paseka, Jan: $T_2$-separation axioms on frames. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 28 (1987), issue 2, pp. 95-98
• Dikranjan, Dikran N.; Giuli, Eraldo: Ordinal invariants and epimorphisms in some categories of weak Hausdorff spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 2, pp. 395-417
• Simon, Petr: Completely regular modification and products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 1, pp. 121-128
• Guido, Cosimo: Connected spaces which are not strongly connected. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. [149]-153
• Dikranjan, D.; Giuli, E.: Epimorphims and cowellpoweredness of epireflective subcategories of Top. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. 121-136
• Frič, Roman; Novák, Josef: A tiny peculiar Fréchet space. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 1, pp. 22-27
• Bentley, H. L.; Herrlich, Horst: Completion as reflection. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 541-568
• Grošek, Otokar: Топология на полугруппах индуцированная эндоморфизмом. (Russian) [A topology on semigroups generated by an endomorphism]. Mathematica Slovaca, vol. 28 (1978), issue 2, pp. 217-223
• Wage, Michael L.: Spaces with zero set bases. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 771-775
• Malykhin, Viacheslav I.: Oб одной задаче Э. Чеха. (Russian) [On a problem of E. Čech]. Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 4, pp. 779-790
• Błaszczyk, A.: On a factorization lemma and a construction of absolute without separation axioms. (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. [45]-50
• Nešetřil, J.; Rödl, V.: Ramsey topological spaces. (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. 333-337
• Müller, Bernd: $T_3$-completions of convergence vector spaces. (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. [298]-307
• Koubek, Václav: Each concrete category has a representation by $T_2$ paracompact topological spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 4, pp. 655-664
• Frič, Roman: Regularity and extension of mappings in sequential spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 1, pp. 161-171
• Gemignani, Michael C.: Disconnecting Sets and Decomposition Theories. (English). Matematický časopis, vol. 23 (1973), issue 4, pp. 381-387
• Preuss, G.: A categorical generalization of completely Hausdorff 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. 361-362
• Hajek, D. W.; Strecker, G. E.: Direct limits of Hausdorff 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. 165-169
• Singal, Asha Rani: Remarks on separation axioms. (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. [265]-296
• Soundararajan, T.: Weakly Hausdorff spaces and the cardinality of topological spaces. (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. 301-306
• Császár, K.: Abgeschwächte Trennungsaxiome. (German) [Weakened separation axioms]. In: General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the second Prague topological symposium, 1966. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1967. pp. 103-104
• Doyle, P. H.: On finite $T_0$-spaces. (English). In: General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the second Prague topological symposium, 1966. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1967. pp. 115-117