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Products of compact spaces and the axiom of choice II
Author(s) -
De la Cruz Omar,
Hall Eric,
Howard Paul,
Keremedis Kyriakos,
Rubin Jean E.
Publication year - 2003
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.200310004
Subject(s) - mathematics , tychonoff space , axiom of choice , hausdorff space , countable set , compact space , separation axiom , axiom , linear subspace , continuation , axiom independence , urysohn and completely hausdorff spaces , pure mathematics , discrete mathematics , set (abstract data type) , set theory , hausdorff measure , hausdorff dimension , computer science , geometry , programming language
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 that the multiple choice axiom has on such products.