A generalization of kelley's theorem for c-spaces

Michael Levin; James T. Rogers

doi:10.1090/s0002-9939-99-05158-8

A generalization of kelley's theorem for c-spaces

Michael Levin, James T. Rogers

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove that if an open map f : X → Y of compacta X and Y has perfect fibers and Y is a C-space, then there exists a 0-dimensional compact subset of X intersecting each fiber of f. This is a stronger version of a well-known theorem of Kelley. Applications of this result and related topics are discussed.

Original language	English
Pages (from-to)	1537-1541
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9939-99-05158-8
State	Published - 1 Jan 2000
Externally published	Yes

Keywords

C-spaccs
Continua
Dimension

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-99-05158-8

Cite this

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AB - We prove that if an open map f : X → Y of compacta X and Y has perfect fibers and Y is a C-space, then there exists a 0-dimensional compact subset of X intersecting each fiber of f. This is a stronger version of a well-known theorem of Kelley. Applications of this result and related topics are discussed.

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KW - Dimension

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DO - 10.1090/s0002-9939-99-05158-8

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AN - SCOPUS:23044518070

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A generalization of kelley's theorem for c-spaces

Abstract

Keywords

ASJC Scopus subject areas

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