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Choice Principles and Compactness Conditions
Author(s) -
Banaschewski Bernhard
Publication year - 1998
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19980440313
Subject(s) - axiom of choice , mathematics , zermelo–fraenkel set theory , compact space , axiom , frame (networking) , envelope (radar) , set theory , set (abstract data type) , urelement , pure mathematics , discrete mathematics , mathematical economics , calculus (dental) , geometry , computer science , programming language , medicine , telecommunications , radar , dentistry
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.