Choice Principles and Compactness Conditions

✍ Scribed by Bernhard Banaschewski

• Book ID: 102487891
• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 212 KB
• Volume: 44
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.19980440313

✦ Synopsis

Abstract

It is shown in Zermelo‐Fraenkel Set Theory that C^κ^, the Axiom of Choice for κ‐indexed families of arbitrary sets, is equivalent to the condition that the frame envelope of any κ‐frame is κ‐Lindelöf, for any cardinal κ.