On classes of maps which preserve finitisticness

Akira Koyama; Manuel A. Moron

doi:10.1090/S0002-9939-02-06402-X

On classes of maps which preserve finitisticness

Research output: Contribution to journal › Article

Abstract

We shall prove the following: (1) Let r: X → Y be a refinable map between paracompact spaces. Then X is finitistic if and only if Y is finitistic. (2) Let f: X → Y be a hereditary shape equivalence between metric spaces. Then if X is finitistic, Y is finitistic.

Original language	English
Pages (from-to)	3091-3096
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-02-06402-X
Publication status	Published - 2002 Oct
Externally published	Yes

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Keywords

C-refinable maps
Cohomological dimension
Extension dimension
Finitistic spaces
Hereditary shape equivalences
Refinable maps

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

Koyama, A., & Moron, M. A. (2002). On classes of maps which preserve finitisticness. Proceedings of the American Mathematical Society, 130(10), 3091-3096. https://doi.org/10.1090/S0002-9939-02-06402-X

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Access to Document

10.1090/S0002-9939-02-06402-X