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Henriksen, M.; Woods, R. G.

Cozero complemented spaces; when the space of minimal prime ideals of a \(C(X)\) is compact. (English) Zbl 1067.54015

Topology Appl. 141, No. 1-3, 147-170 (2004).
Partial answers are given to some questions concerning the relationship between a space being cozero complemented and certain kinds of subspaces having this property, and between the product of two spaces being cozero complemented and the factor spaces being cozero complemented. Moreover some conditions are given that guarantee that a space which is locally cozero complemented has this property globally.
Reviewer: Zbigniew Grande (Bydgoszcz)

Cited in 2 Reviews
Cited in 27 Documents

MSC:

54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
06F25 Ordered rings, algebras, modules
54C30 Real-valued functions in general topology
54C50 Topology of special sets defined by functions

Keywords:

continuity; Tychonoff space; cozeroset; cozero complemented space; product space; factor space; minimal prime ideal
PDFBibTeX XMLCite
\textit{M. Henriksen} and \textit{R. G. Woods}, Topology Appl. 141, No. 1--3, 147--170 (2004; Zbl 1067.54015)
Full Text: DOI

References:

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