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On the Depth of Topological Spaces

Name: On the Depth of Topological Spaces
Creator: J. Gerlits
Keywords: Connected and locally connected spaces (general aspects), 4. Education, Cardinality properties (cardinal functions and inequalities, discrete subsets)

On the depth of topological spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1974Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 44, page 507 (issn: 0002-9939,

Authors: J. Gerlits;

doi: 10.2307/2040467 , 10.1090/s0002-9939-1974-0345051-5

On the Depth of Topological Spaces

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Abstract

In this short note we prove that Kowalsky’s star-space of weight ω 1 {\omega _1} is a suitable counterexample to a conjecture of I. Juhàsz.

Keywords

Connected and locally connected spaces (general aspects), Cardinality properties (cardinal functions and inequalities, discrete subsets)

1 Research products, page 1 of 1

An internal and an external characterization of convergence spaces in which adherences of filters are closed
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