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03E25 Axiom of choice and related propositions (52 articles)

• Banerjee, Amitayu: Maximal independent sets, variants of chain/antichain principle and cofinal subsets without AC. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 2, pp. 137-159
• Morillon, Marianne: Hyperplanes in matroids and the axiom of choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 4, pp. 423-441
• Keremedis, Kyriakos: On subcompactness and countable subcompactness of metrizable spaces in ZF. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 2, pp. 229-244
• Banerjee, Amitayu; Gyenis, Zalán: Chromatic number of the product of graphs, graph homomorphisms, antichains and cofinal subsets of posets without AC. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 3, pp. 361-382
• Goldstern, Martin; Klausner, Lukas D.: Stranger things about forcing without AC. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 1, pp. 21-26
• Hayut, Yair; Karagila, Asaf: Spectra of uniformity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 60 (2019), issue 2, pp. 285-298
• Tachtsis, Eleftherios: On certain non-constructive properties of infinite-dimensional vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 3, pp. 285-309
• Keremedis, Kyriakos: On pseudocompactness and related notions in ZF. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 3, pp. 371-381
• Morillon, Marianne: Linear extenders and the Axiom of Choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 4, pp. 419-434
• Herrlich, Horst; Tachtsis, Eleftherios: On the solvability of systems of linear equations over the ring $\mathbb{Z}$ of integers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 2, pp. 241-260
• Repický, Miroslav: A proof of the independence of the Axiom of Choice from the Boolean Prime Ideal Theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 4, pp. 543-546
• Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios: On special partitions of Dedekind- and Russell-sets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 1, pp. 105-122
• Herrlich, Horst; Keremedis, Kyriakos: AC holds iff every compact completely regular topology can be extended to a compact Tychonoff topology. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 1, pp. 139-143
• Staš, Michal: The regularity properties on the real line. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 51 (2010), issue 3, pp. 73-82
• Morillon, Marianne: Linear forms and axioms of choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 3, pp. 421-431
• Herrlich, Horst; Tachtsis, Eleftherios: On the number of Russell's socks or $2+2+2+\dots=\text{?}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 707-717
• Erné, Marcel: Prime and maximal ideals of partially ordered sets. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 1-22
• 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
• Mildenberger, Heike: On the groupwise density number for filters. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 46 (2005), issue 2, pp. 55-63
• Ostrovsky, Alexey: Questions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 46 (2005), issue 2, pp. 65-66
• Tachtsis, Eleftherios: Disasters in metric topology without choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 165-174
• Alekseevsky, Dmitri; Arvanitoyeorgos, Andreas: Metrics with homogeneous geodesics on flag manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 189-199
• 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
• 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
• Turzański, Marian: On the selector of twin functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 303-307
• Herrlich, Horst: Choice principles in elementary topology and analysis. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 545-552
• Erné, Marcel: Prime Ideal Theorems and systems of finite character. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 513-536
• Herrlich, Horst; Strecker, George E.: When is $\bold N$ Lindelöf?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 553-556
• Banaschewski, B.: Radical ideals and coherent frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 349-370
• Erné, Marcel: A primrose path from Krull to Zorn. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 123-126
• Walendziak, Andrzej: Unique irredundant decompositions in upper continuous lattices. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 193-199
• Spišiak, Ladislav: Dependences between definitions of finiteness. II. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 3, pp. 391-407
• Banaschewski, B.: On the injectivity of Boolean algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 501-511
• Simon, Petr: Sacks forcing collapses $\frak c$ to $\frak b$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 4, pp. 707-710
• Sgall, Jiří: Forcing in the alternative set theory. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 323-337
• Sgall, Jiří; Sochor, Antonín: Forcing in the alternative set theory. II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 339-353
• Paseka, Jan: A note on the prime ideal theorem. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 2, pp. 131-136
• Grätzer, G.; Wenzel, G. H.: Tolerances, covering systems, and the axiom of choice. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 27-34
• Spišiak, Ladislav; Vojtáš, Peter: Dependences between definitions of finiteness. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 3, pp. 389-397
• Wagon, Stan: The Banach-Tarski Paradox. (Czech) [The Banach-Tarski Paradox]. Pokroky matematiky, fyziky a astronomie, vol. 32 (1987), issue 4, pp. 227-230
• Sgall, Jiří: Construction of the class FN. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 3, pp. 435-436
• Brunner, Norbert: Ultraproducts and the axiom of choice. (English). Archivum Mathematicum, vol. 22 (1986), issue 4, pp. 175-180
• Sochor, Antonín: Constructibility and shiftings of view. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 477-498
• Kříž, Igor: A constructive proof of the Tychonoff's theorem for locales. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 619-630
• Brunner, Norbert: Realisierung und Auswahlaxiom. (German) [Realization and axiom of choice]. Archivum Mathematicum, vol. 20 (1984), issue 1, pp. 39-42
• Čuda, Karel; Vojtášková, Blanka: Models of AST without choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 4, pp. 555-589
• 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
• Dubins, L. E.: Hausdorffův-Banachův-Tarského paradox. (Czech) [The Hausdorff-Banach-Tarski paradox]. Pokroky matematiky, fyziky a astronomie, vol. 26 (1981), issue 3, pp. 151-155
• Andréka, H.; Németi, I.: Does ${\bf SP}\ K\supseteq\ {\bf PS}\ K$ imply axiom of choice?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 699-706
• Štěpánková, Olga: Construction by transfinite induction. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 3, pp. 583-591
• Vopěnka, Petr: O prvním Hilbertově problému (Hypotéza kontinua a axióm výběru). (Czech) [The first Hilbert problem (Continuum hypothesis and axiom of choice)]. Pokroky matematiky, fyziky a astronomie, vol. 16 (1971), issue 3, pp. 117-129