๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Definitions of Compactness and the Axiom of Choice

โœ Scribed by Omar De la Cruz, Eric Hall, Paul Howard, Jean E. Rubin and Adrienne Stanley

Book ID
124978663
Publisher
Association for Symbolic Logic
Year
2002
Tongue
English
Weight
426 KB
Volume
67
Category
Article
ISSN
0022-4812

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

The Compactness of 2โ„ and the Axiom of C
The Compactness of 2โ„ and the Axiom of Choice
โœ Kyriakos Keremedis ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB ๐Ÿ‘ 1 views

We show that for every well ordered cardinal number m the Tychonoff product 2 m is a compact space without the use of any choice but in Cohen's Second Model 2 R is not compact.

Products of Compact Spaces and the Axiom
Products of Compact Spaces and the Axiom of Choice
โœ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 156 KB ๐Ÿ‘ 1 views
Products of compact spaces and the axiom
Products of compact spaces and the axiom of choice II
โœ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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 โ„^__K__^). We also study well ordered Tychonoff products and the effect