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Versions of Normality and Some Weak Forms of the Axiom of Choice

✍ Scribed by Paul Howard; Kyriakos Keremedis; Herman Rubin; Jean E. Rubin

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
909 KB
Volume
44
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES

Weak Forms of the Axiom of Choice and th
Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis
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## Abstract In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.

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Axiom of Choice, weak axioms of choice, real line. ## MSC (2000) 03E25, 03E35 We investigate, within the framework of Zermelo-Fraenkel set theory ZF, the interrelations between weak forms of the Axiom of Choice AC restricted to sets of reals.