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03H05 Nonstandard models in mathematics (31 articles)

• Djamel, Bellaouar; Abdelmadjid, Boudaoud; Özer, Özen: On a sequence formed by iterating a divisor operator. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 1177-1196
• Duanmu, Haosui; Weiss, William: Finitely-additive, countably-additive and internal probability measures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 4, pp. 467-485
• Drobná, Eva; Nánásiová, Oĺga; Valášková, Ĺubica: Quantum logics and bivariable functions. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 982-995
• Miranda, Pedro; Grabisch, Michel: $p$-symmetric bi-capacities. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [421]-440
• Narukawa, Yasuo; Torra, Vicenç: Twofold integral and multi-step Choquet integral. (English). Kybernetika, vol. 40 (2004), issue 1, pp. [39]-50
• Saminger, Susanne; Mesiar, Radko: A general approach to decomposable bi-capacities. (English). Kybernetika, vol. 39 (2003), issue 5, pp. [631]-642
• Bianconi, Ricardo; Prandini, João C.; Possani, Cláudio: A Daniell integral approach to nonstandard Kurzweil-Henstock integral. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 817-823
• Henson, C. Ward; Zlatoš, Pavol: Indiscernibles and dimensional compactness. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 199-203
• Prati, Nando: Alternative set theory with elementary classes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 193-203
• Drossos, Costas A.; Markakis, George: Boolean powers and stochastic spaces. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 1-19
• Kalina, Martin: Expected values in the alternative set theory and their applications to some limit theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 169-179
• Sochor, A.: Complexity of the axioms of the alternative set theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 33-45
• Chen, Shutao; Wisła, Marek: Extreme compact operators from Orlicz spaces to $C(\Omega)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 63-77
• Náter, J.; Pulmann, P.; Zlatoš, P.: Dimensional compactness in biequivalence vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 681-688
• Guričan, Jaroslav: Homology theory in the AST II. Basic concepts, Eilenberg-Steenrod's axioms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 353-372
• Drossos, Costas A.; Markakis, George; Shakhatreh, M.: A nonstandard approach to fuzzy set theory. (English). Kybernetika, vol. 28 (1992), issue 7, pp. 41-44
• Šmíd, Miroslav; Zlatoš, Pavol: Biequivalence vector spaces in the alternative set theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 517-544
• Guričan, Jaroslav: Homology theory in the alternative set theory I. Algebraic preliminaries. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 75-93
• Čuda, Karel: Multiplication of nonadditive cuts in AST. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 61-73
• Kalina, Martin; Zlatoš, Pavol: Some connections between measure, indiscernibility and representation of cuts. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 751-763
• Kalina, Martin: A sequential approach to a construction of measures. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 1, pp. 121-128
• Mlček, Josef: Correction to the paper: “Set-like equivalence and inner and outer cuts”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 395
• Sgall, Jiří; Witzany, Jiří: Dimension of indiscernibility equivalences. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 537-547
• Mlček, Josef: Set-like equivalence and inner and outer cuts. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 4, pp. 635-647
• Čuda, Karel: A nonstandard treatment with quantities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 3, pp. 437-447
• Čuda, Karel: Translation of nonstandard definitions to standard ones. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 4, pp. 615-634
• Sochor, Antonín: Metamathematics of the alternative set theory. III. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 1, pp. 137-154
• Čuda, Karel: Nonstandard models of arithmetic as an alternative basis for continuum considerations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 3, pp. 415-430
• Čuda, Karel: An elimination of the predicate “to be a standard member” in nonstandard models of arithmetic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 4, pp. 785-803
• Čuda, Karel: An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 433-445
• Sochor, Antonín; Vopěnka, Petr: Endomorphic universes and their standard extensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 4, pp. 605-629