A General Spatial Structure On Classes
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Milan Đurić (1973)
Publications de l'Institut Mathématique
M.W. Bunder (1983)
Archiv für mathematische Logik und Grundlagenforschung
Vítězslav Švejdar (1981)
Commentationes Mathematicae Universitatis Carolinae
Louis Saltel (1873)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
H. Wegel (1956)
Mathematische Annalen
Gerhard Jäger (1980)
Archiv für mathematische Logik und Grundlagenforschung
John Truss (1974)
Fundamenta Mathematicae
C. Alkor (1982)
Ladislav Spišiak, Peter Vojtáš (1988)
Czechoslovak Mathematical Journal
Ladislav Spišiak (1993)
Czechoslovak Mathematical Journal
Dieter Klaua (1981)
Monatshefte für Mathematik
Curt Christian (1977)
Monatshefte für Mathematik
Gundelfinger (1873)
Mathematische Annalen
T.B. Flannagan (1980)
Archiv für mathematische Logik und Grundlagenforschung
Friedman, Harvey M. (1998)
Annals of Mathematics. Second Series
S. Świerczkowski (2003)
Omar De la Cruz (2002)
Fundamenta Mathematicae
We deal with weak choice principles of the form: Every "finite" family of non-empty sets has a choice function, where "finite" stands for one of several different definitions of finiteness that are not equivalent unless we assume the axiom of choice (AC). Several relations of implication and independence are established. In the process, we answer a few open questions about the relations between different definitions of finiteness.
Belyakin, N.V., Ganov, V.A. (2002)
Sibirskij Matematicheskij Zhurnal
George Wilmers (1971)
Fundamenta Mathematicae
Gerhard Osius (1974)
Mathematische Annalen
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