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54A35 Consistency and independence results (71 articles)

• Silva, Samuel Gomes da: Closed discrete subsets of separable spaces and relative versions of normality, countable paracompactness and property $(a)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 3, pp. 435-444
• Bella, Angelo; Costantini, Camillo: Further remarks on KC and related spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 3, pp. 417-426
• 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
• Morgan, Charles; da Silva, Samuel Gomes: Almost disjoint families and “never” cardinal invariants. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 3, pp. 433-444
• Abraham, Uri: Lectures on ideal dichotomy. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 50 (2009), issue 2, pp. 5-22
• Gorelic, Isaac; Juhász, István: AB-compacta. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 1, pp. 141-146
• 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
• Protasov, I. V.: Extraresolvability of balleans. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 167-175
• Dow, Alan: On van Douwen spaces and retracts of $\beta {\mathbb{N}}$. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 345-368
• Iwasa, Akira; Nyikos, Peter J.: A non-metrizable collectionwise Hausdorff tree with no uncountable chains and no Aronszajn subtrees. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 3, pp. 515-523
• Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios: Countable sums and products of Loeb and selective metric spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 2, pp. 373-384
• da Silva, Samuel Gomes: Property $(a)$ and dominating families. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 4, pp. 667-684
• Dow, Alan: Property D and pseudonormality in first countable spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 2, pp. 369-372
• Hernández-Hernández, Fernando: A tree $\pi $-base for $\Bbb R^\ast$ without cofinal branches. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 4, pp. 721-734
• Gruenhage, Gary; Levy, Ronnie: Correction to the paper: Covering $^\omega \omega $ by special Cantor sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 177-177
• Repický, Miroslav: Perfect sets and collapsing continuum. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 2, pp. 315-327
• Franco-Filho, Antonio de Padua: Topological characterization of the small cardinal $i$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 745-750
• Hart, Klaas Pieter: An algebraic and logical approach to continuous images. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 43 (2002), issue 2, pp. 5-25
• Gruenhage, Gary; Levy, Ronnie: Covering $^\omega\omega$ by special Cantor sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 497-509
• Tachtsis, Eleftherios: Disasters in metric topology without choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 165-174
• Arhangel'skii, A. V.; Pavlov, O. I.: A note on condensations of $C_p(X)$ onto compacta. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 485-492
• Herrlich, Horst: Products of Lindelöf $T_2$-spaces are Lindelöf – in some models of ZF. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 319-333
• Tamariz-Mascarúa, A.; Villegas-Rodríguez, H.: Spaces of continuous functions, box products and almost-$\omega$-resolvable spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 687-705
• García-Ferreira, S.; González-Silva, R. A.; Tomita, A. H.: Topological games and product spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 675-685
• García-Ferreira, S.; Tomita, A. H.: Countable compactness and $p$-limits. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 521-527
• Vaughan, Jerry E.: Two spaces homeomorphic to $Seq(p)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 209-218
• Malykhin, V. I.: $C_p(I)$ is not subsequential. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 785-788
• Alas, O. T.; García-Ferreira, S.; Tomita, A. H.: Extraresolvability and cardinal arithmetic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 279-292
• Fedeli, Alessandro; Le Donne, Attilio: An independency result in connectification theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 331-334
• 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
• Costantini, Camillo: On a problem of Nogura about the product of Fréchet-Urysohn $\langle \alpha_4\rangle$-spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 537-549
• 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
• Herrlich, Horst; Keremedis, Kyriakos: Products, the Baire category theorem, and the axiom of dependent choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 771-775
• Delaney, P.; Just, W.: Two remarks on weaker connected topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 327-329
• García-Ferreira, S.: Continuous functions between Isbell-Mrówka spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 185-195
• Jiménez, R.; Malykhin, V. I.: Structure resolvability. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 379-387
• Herrlich, Horst: Choice principles in elementary topology and analysis. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 545-552
• Tkachuk, Vladimir V.: Some non-multiplicative properties are $l$-invariant. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 169-175
• Herrlich, Horst; Strecker, George E.: When is $\bold N$ Lindelöf?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 553-556
• Bell, Murray: A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 589-594
• Juhász, I.; Soukup, L.; Szentmiklóssy, Z.: Forcing countable networks for spaces satisfying $\operatorname{R}(X^\omega)=\omega$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 159-170
• Malykhin, V. I.: Nowhere dense subsets and Booth's Lemma. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 391-395
• Tomita, Artur Hideyuki: On finite powers of countably compact groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 617-626
• 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
• Labędzki, G.: A topology generated by eventually different functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 2, pp. 37-53
• Malykhin, V. I.: Distinguishing Lindelöfness and inverse Lindelöfness. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 171-176
• Daniels, Peg: $\omega^\omega$-directedness and a question of E. Michael. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 115-121
• Tkachuk, Vladimir V.: Some new versions of an old game. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 177-196
• Gorelic, Isaac: On powers of Lindelöf spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 383-401
• Zhou, Jin-Yuan: On subspaces of pseudo-radial spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 583-586
• Marconi, Umberto: Some conditions under which a uniform space is fine. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 543-547
• Bandlow, Ingo: On the absoluteness of openly-generated and Dugundji spaces. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 33 (1992), issue 2, pp. 15-26
• Bella, Angelo; Costantini, Camillo: On the Novak number of a hyperspace. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 695-698
• Tkačenko, Michael G.: $\Cal P$-approximable compact spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 583-595
• Szymański, Andrzej: Measurable cardinals and category bases. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 405-409
• Malykhin, V. I.: The sequentiality and the Fréchet-Urysohn property with respect to ultrafilters. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 2, pp. 65-69
• Boldjiev, B.; Malykhin, Viacheslav I.: The sequentiality is equivalent to the ${\cal F}$-Fréchet-Urysohn property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 23-25
• Rudin, Mary Ellen: A few topological problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 743-746
• Malykhin, Viacheslav I.: On countable Fréchet-Urysohn spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 695-701
• Juhász, István: A weakening of $\clubsuit$, with applications to topology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 4, pp. 767-773
• Brunner, Norbert: Ultraproducts and the axiom of choice. (English). Archivum Mathematicum, vol. 22 (1986), issue 4, pp. 175-180
• Brunner, Norbert: Realisierung und Auswahlaxiom. (German) [Realization and axiom of choice]. Archivum Mathematicum, vol. 20 (1984), issue 1, pp. 39-42
• Williams, Scott W.: Paracompactness in box products. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. [313]-328
• Brunner, Norbert: Folgenkompaktheit und Auswahlaxiom. (German) [Sequential compactness and the axiom of choice]. Archivum Mathematicum, vol. 19 (1983), issue 3, pp. 143-144
• Błaszczyk, A.: Irreducible images of $\beta N-N$. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [47]-54
• 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
• Comfort, W. W.: O riešení niektorých nerozhodnutelných topologických problémov. (Slovak) [Deciding some undecidable topological statements]. Pokroky matematiky, fyziky a astronomie, vol. 27 (1982), issue 5, pp. 252-272
• Bukovský, L.; Copláková, E.: Rapid ultrafilter need not be Q-point. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 10th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1982. pp. [15]-20
• Bell, Murray G.: The space of complete subgraphs of a graph. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 3, pp. 525-536
• Biryukov, Petr A.: Cardinalities and ranks of $\pi$-bases in topological spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 769-776