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On the Principle of Dependent Choices and Some Forms of Zorn's Lemma

Published online by Cambridge University Press:  20 November 2018

Elliot S. Wolk
Elliot S. Wolk*
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, CT 06268
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Abstract

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The main result of this paper is to prove that a generalization of the Principle of Dependent Choices, introduced by A. Levy [2; see also 1, Chapter 8], is equivalent to a form of Zorn's Lemma.

Keywords

03E2504A25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 365 - 367
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Jech, T. J., The Axiom of Choice, North-Holland, 1973.Google Scholar
2. Levy, A., The interdependence of certain consequences of the axiom of choice, Fund. Math. 54 (1964), 135-157.Google Scholar