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2009, vol. 13, br. 2, str. 103-116
Every set has at least three choice functions
(naslov ne postoji na srpskom)
Univerzitet u Beogradu, Matematički fakultet

e-adresaandreja@predrag.us
Sažetak
(ne postoji na srpskom)
This paper continues the study of the Axiom of Choice by E. Zermelo [Neuer Beweis für die Möglichkeit einer Wohlordung, Math. Annalen, 65 (1908), 107-128; translated in van Heijenoort 1967, 183-198]. We prove some new equivalents of the Axiom of Choice, i.e., Zorn's lemma, and in connection with an initial equivalent also fact that every set has at least three choice functions. 2000 Mathematics Subject Classification. Primary: 47H10; Secondary: 54H25.
Reference
Howard, P., Rubin, Jean.E. (1998) Consequences of the axiom of choice, p. cm. u: Mathematical surveys and monographs, vol. 59
Jech, T.J. (1973) The axiom of choice. Amsterdam,New York: North-Holland Pub. Co.;American Elsevier Pub. Co
Moore, Gregory.H. (1982) Zermelo's axiom of choice: Its origins, development and influence. New York-Heidelberg-Berlin: Springer Verlag, vol. 8, 410 pages
Rubin, H., Rubin, J.E. (1985) Equivalents of the axiom of choice. Amsterdam: North-Holland, II
Tasković, M.R. (1992) The axiom of choice, fixed point theorems, and inductive ordered sets. Proc. Amer. Math. Soc., 116, 4, 897-904
Tasković, M.R. (1993) Nonlinear functional analysis: Fundamental elements of theory. Beograd: Zavod za udžbenike i nastavna sredstva, part I, vol. 1, 713-752
Tasković, M.R. (2001) Nonlinear functional analysis. u: Second Book: Monographs - Global Convex Analysis - General convexity, Variational methods and Optimization, Beograd: Zavod za udžbenike i nastavna sredstva, in Serbian
Tasković, M.R. (2004) Transversal sets. Mathematica Moravica, br. 8-2, str. 53-93
Tasković, M.R. (2005) Theory of transversal point, spaces and forks. u: Monographs of a new theory, Beograd, 1001-1022
Tasković, M.R. (1975) Fixed points of contractive and some other mappings. Beograd: University, PhD Thesis
Tasković, M.R. (1978) Banach's mappings of fixed points on spaces and ordered sets. Beograd, These
Tasković, M.R. (1986) On an equivalent of the axiom of choice and its applications. Mathematica Japonica, 31, 6, 979-991
Tasković, M.R. (1988) Characterizations of inductive posets with applications. Proc. Amer. Math. Soc., 104, 2, 650-659
Tasković, Milan.R. (1992) New maximal principles. Math. Japonica, 37, 549-554
 

O članku

jezik rada: engleski
vrsta rada: izvorni naučni članak
DOI: 10.5937/MatMor0902103T
objavljen u SCIndeksu: 23.02.2010.

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