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54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (91 articles)

• de Oliveira Rodrigues, Vinicius; dos Santos Ronchim, Victor; Szeptycki, Paul J.: Special sets of reals and weak forms of normality on Isbell--Mrówka spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 1, pp. 109-126
• Martinez, Jorge; McGovern, Warren Wm.: $C^*$-points vs $P$-points and $P^\flat$-points. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 2, pp. 245-259
• Logunov, Sergei: On butterfly-points in $\beta X$, Tychonoff products and weak Lindelöf numbers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 3, pp. 379-383
• Logunov, Sergei: On non-normality points, Tychonoff products and Suslin number. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 1, pp. 131-134
• Logunov, Sergei: On Szymański theorem on hereditary normality of $\beta\omega$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 4, pp. 507-512
• Bielas, Wojciech; Kucharski, Andrzej; Plewik, Szymon: The Niemytzki plane is $\varkappa $-metrizable. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 457-469
• Logunov, Sergei: Non-normality points and nice spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 3, pp. 383-392
• Logunov, Sergei: On hereditary normality of $\omega ^*$, Kunen points and character $\omega_{1}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 4, pp. 507-511
• Porter, John E.: Monotonically normal $e$-separable spaces may not be perfect. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 3, pp. 391-398
• Das, Ananga Kumar; Bhat, Pratibha; Gupta, Ria: Factorizations of normality via generalizations of $\beta $-normality. (English). Mathematica Bohemica, vol. 141 (2016), issue 4, pp. 463-473
• Ravi, O.; Ganesan, S.; Latha, R.: Almost $\tilde g_\alpha$-closed functions and separation axioms. (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 275-291
• Song, Yan-Kui; Zheng, Shu-Nian: On relatively almost countably compact subsets. (English). Mathematica Bohemica, vol. 135 (2010), issue 3, pp. 291-297
• Song, Yankui: On relatively almost Lindelöf subsets. (English). Mathematica Bohemica, vol. 134 (2009), issue 2, pp. 183-190
• Renukadevi, V.; Sivaraj, D.: A generalization of normal spaces. (English). Archivum Mathematicum, vol. 44 (2008), issue 4, pp. 265-270
• Chodounský, David: Non-normality and relative normality of Niemytzki plane. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 48 (2007), issue 2, pp. 37-41
• Mir, Ellen: A non-Tychonoff relatively normal subspace. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 707-712
• Song, Yan-Kui: Spaces with large relative extent. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 387-394
• Higuchi, Sachio; Tanaka, Hidenori: Covering properties in countable products, II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 491-502
• Tanaka, Hidenori: $\Sigma $-products of paracompact Čech-scattered spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 1, pp. 127-140
• Angoa, J.; Tamariz-Mascarúa, Á.: Spaces of continuous functions, $\Sigma$-products and Box Topology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 1, pp. 69-94
• Costantini, Camillo: Weak orderability of some spaces which admit a weak selection. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 609-615
• Kawaguchi, Shinji; Sokei, Ryoken: Some relative properties on normality and paracompactness, and their absolute embeddings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 475-495
• Levy, Ronnie; Matveev, Mikhail: Weak extent in normal spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 497-501
• Hoshina, Takao; Sokei, Ryoken: Relative normality and product spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 3, pp. 515-524
• Murtinová, Eva: A $\beta$-normal Tychonoff space which is not normal. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 159-164
• Yoshioka, Iwao: On the subsets of non locally compact points of ultracomplete spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 707-721
• Holický, Petr: Generalized analytic spaces, completeness and fragmentability. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 4, pp. 791-818
• Arhangel'skii, A. V.; Ludwig, L.: On $\alpha$-normal and $\beta$-normal spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 507-519
• 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
• Shishkov, Ivailo: $\Sigma$-products and selections of set-valued mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 203-207
• Shishkov, Ivailo: Hereditarily normal Katětov spaces and extending of usco mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 1, pp. 183-196
• Good, Chris; Stares, Ian: New proofs of classical insertion theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 1, pp. 139-142
• Nordo, Giorgio; Pasynkov, Boris A.: Perfect compactifications of functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 3, pp. 619-629
• van Hartskamp, Michael; van Mill, Jan: Some examples related to colorings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 821-827
• Williams, Scott W.; Zhou, Haoxuan: Order-like structure of monotonically normal spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 207-217
• 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
• Labędzki, G.: A topology generated by eventually different functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 2, pp. 37-53
• Stares, I. S.: Monotone normality and extension of functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 563-578
• Good, Chris: Large cardinals and Dowker products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 515-522
• Kubiak, Tomasz: A strengthening of the Katětov-Tong insertion theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 357-362
• Marín, Josefa; Romaguera, Salvador: Correction to the paper: Pairwise monotonically normal spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 181-181
• Fitzpatrick, Simon; Calvert, Bruce: Correction to the paper: Sets invariant under projections onto one dimensional subspaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 182-182
• 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
• Bentley, H. L.; Lowen-Colebunders, E.: Completely regular spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 129-153
• Marín, Josefa; Romaguera, Salvador: Pairwise monotonically normal spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 567-579
• Šmarda, B.: Completely normal locales. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 2, pp. 101-104
• Junnila, Heikki J. K.: Around Katětov's metrization theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 685-694
• Engelking, Ryszard: An elementary proof of Noble's theorem on normality of powers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 677-678
• Rudin, Mary Ellen: A few topological problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 743-746
• Baláž, Vladimír: On almost and weak forms of continuity of functions and multifunctions. (English). Mathematica Slovaca, vol. 37 (1987), issue 1, pp. 53-61
• Hart, Klaas Pieter; Junnila, Heikki; van Mill, Jan: A Dowker group. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 799-810
• Hart, Klaas Pieter: Some more $\kappa$-fully normal spaces. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the 13th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1985. pp. [55]-59
• Simon, Petr: Completely regular modification and products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 1, pp. 121-128
• Arhangel'skii, Aleksander V.; Činčura, J.: On continuous images of almost Tychonoff cubes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 2, pp. 287-295
• Pultr, Aleš: Pointless uniformities. I. Complete regularity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 1, pp. 91-104
• Shostak, Alexander P.: Some remarks about bijections onto metric spaces. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 227-238
• Balogh, Zoltán T.: Locally nice spaces under Martin's axiom. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 1, pp. 63-87
• Watson, Stephen W.: Sixty questions on regular not paracompact spaces. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [369]-373
• Shakhmatov, Dmitriĭ B.: Вложения в топологические поля и построение поля, пространство которого не нормально. (Russian) [Embeddings into topological fields and the construction of a field the space of which is not normal]. Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 3, pp. 525-540
• Šmarda, Bohumil: Uniform normality of topological groups and $l$-groups. (English). Archivum Mathematicum, vol. 18 (1982), issue 2, pp. 101-109
• Malý, Jan: A note on separation of sets by approximately continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 2, pp. 207-212
• Rudin, Mary Ellen: $\aleph $-Dowker spaces. (English). Czechoslovak Mathematical Journal, vol. 28 (1978), issue 2, pp. 324-326
• Chigogidze, Alex: Inductive dimensions for completely regular spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 623-637
• Lukeš, Jaroslav; Zajíček, Luděk: The insertion of $G_\delta$ sets and fine topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 1, pp. 101-104
• Lukeš, Jaroslav: The Lusin-Menchoff property of fine topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 3, pp. 515-530
• van Mill, J.: Spaces with a binary normal subbase. (English). In: Frolík, Z. (ed.): Abstracta. 5th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1977. pp. 61-63
• Lukeš, Jaroslav; Zajíček, Luděk: When finely continuous functions are of the first class of Baire. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 647-657
• Lutzer, David J.: Continuous extenders for pseudometrics. (English). In: Frolík, Zdeněk (ed.): Seminar Uniform Spaces. , 1978. pp. 43-50
• Pol, Elżbieta; Pol, Roman: A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrary large dimension. (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. [357]-360
• Marxen, Donald: Neighborhoods of the identity of the free abelian topological groups. (English). Mathematica Slovaca, vol. 26 (1976), issue 3, pp. 247-256
• Pták, Pavel: A note on normal topological functors and extensions of transformations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 3, pp. 567-574
• Wage, M. L.: On a problem of Katětov. (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. [494]-499
• Atsuji, M.: On normality of the product of two 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. [25]-27
• Kaul, Saroop K.: Regularity: A generalization of equicontinuity. (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. [223]-227
• Wicke, H. H.; Worrell, J. M., Jr.: Scattered spaces of point-countable type. (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. [513]-516
• Morita, K.: Some problems on normality of products of 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. [296]-297
• Henriksen, Melvin: Tychonoff spaces that have a compactification with countable remainder. (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. [164]-167
• Gemignani, Michael C.: Disconnecting Sets and Decomposition Theories. (English). Matematický časopis, vol. 23 (1973), issue 4, pp. 381-387
• Frič, Roman: A note on Fréchet spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 3, pp. 411-418
• Sennott, L. I.: Extending point-finite covers. (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. 393-398
• Borges, C. R.: Four generalizations of stratifiable 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. 73-76
• Hamburger, P.: On internal characterizations of complete regularity and Wallman-type compactifications. (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. 171-172
• Wichterle, K.: Relations between $\frak B$-completeness and $m$-paracompactness. (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. 463-465
• Tall, F. D.: Some set-theoretic consistency results in topology. (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. 419-425
• Alò, R. A.: Some Tietze type extension theorems. (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. 23-27
• Mrówka, S.: $E$-complete regularity and $E$-compactness. (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. 207-214
• 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
• Tamano, H.: Normality and product 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. 349-352
• Čech, Eduard Dimense dokonale normálních prostorů (Czech) [Dimension of perfectly normal spaces]. Rozpravy Československé Akad. Věd - Řada Mat. Přírod. Věd (13) 42 (1932), 22 pp.
• Čech, Eduard Sur la dimension des espaces parfaitement normaux (French) [On the dimension of perfectly normal spaces]. Bull. international de l'Académie des Sciences de Bohême (1932), 38-55
• Čech, Eduard Sur la dimension des espaces parfaitement normaux (French) [On the dimension of perfectly normal spaces]. Bull. international de l' Académie des Sciences de Bohême (1932), 18 pp.