Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom