𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis

✍ Scribed by Arthur L. Rubin; Jean E. Rubin

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
789 KB
Volume
39
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Properties of the real line and weak for
Properties of the real line and weak forms of the Axiom of Choice
✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Eleftherios Tachtsi πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 192 KB πŸ‘ 1 views

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.