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On the Product of a Compact Space with an Absolutely Countably Compact Space
Author(s) -
VAUGHAN JERRY E.
Publication year - 1996
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1996.tb36814.x
Subject(s) - locally compact space , mathematics , countable set , compact space , space (punctuation) , product (mathematics) , second countable space , pure mathematics , relatively compact subspace , absolute continuity , bounded function , compact disc , mathematical analysis , physics , computer science , geometry , operating system , optics
We show that the product of a compact sequential T 2 ‐space, with an absolutely countably compact T 3 ‐space, is absolutely countably compact, and give several related results. For example, we show that every countably compact GO‐space is absolutely countably compact, and that the product of a compact T 2 ‐space of countable tightness with an absolutely countably compact, ω‐bounded T 3 ‐space (in particular a countably compact GO‐space) is absolutely countably compact.