𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Weierstrass compact pseudometric spaces and a weak form of the axiom of choice

✍ Scribed by Kyriakos Keremedis

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
58 KB
Volume
108
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

We show that the countable multiple choice axiom CMC is equivalent to the assertion: Weierstrass compact pseudometric spaces are compact.

πŸ“œ SIMILAR VOLUMES

Products of Compact Spaces and the Axiom
Products of Compact Spaces and the Axiom of Choice
✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 156 KB πŸ‘ 1 views
Products of compact spaces and the axiom
Products of compact spaces and the axiom of choice II
✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 271 KB

## Abstract This is a continuation of [2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces (first and second countable spaces, Hausdorff spaces, and subspaces of ℝ^__K__^). We also study well ordered Tychonoff products and the effect

Weak Forms of the Axiom of Choice and th
Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis
✍ Arthur L. Rubin; Jean E. Rubin πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 789 KB

## 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.