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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A characterization of coabsoluteness for a class of metric spaces


Author: Catherine Gates
Journal: Proc. Amer. Math. Soc. 80 (1980), 499-504
MSC: Primary 54D40; Secondary 54G05
DOI: https://doi.org/10.1090/S0002-9939-1980-0581014-5
MathSciNet review: 581014
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Abstract: All regular Hausdorff topological spaces can be partitioned into classes of coabsolute spaces. It is shown that in studying the coabsolute classes, only two types of spaces need to be considered: (i) those spaces which have a dense subset of locally compact points and (ii) nowhere locally compact spaces. The absolute of a space is the disjoint union of the absolute of a space of type (i) and the absolute of a space of type (ii). A characterization of the coabsolute subclasses is given for a class of metric spaces of type (i).


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DOI: https://doi.org/10.1090/S0002-9939-1980-0581014-5
Article copyright: © Copyright 1980 American Mathematical Society