On the Cardinality of a Topology

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 1988Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 102, page 696 (issn: 0002-9939,

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Authors: Ruan, Yongbin;

doi: 10.2307/2047248 , 10.1090/s0002-9939-1988-0929005-3

On the Cardinality of a Topology

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Abstract

Let o ( X ) o\left ( X \right ) denote the cardinality of topology of a space X X . I. Juhasz proves that o ( X ) ω = o ( X ) o{\left ( X \right )^\omega } = o\left ( X \right ) for regular hereditarily paracompact spaces. We prove it for more general classes of spaces.

Related Organizations

University of Wisconsin–Oshkosh
United States
University of Wisconsin–Madison
United States

Keywords

weakly collectionwise normality, hereditary paracompactness, Cardinality properties (cardinal functions and inequalities, discrete subsets), weak \(\theta \)-refinability

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