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

Akira Koyama^*, Manuel A. Moron

^*Corresponding author for this work

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

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

Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-02-06402-X

Cite this

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AB - 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.

KW - C-refinable maps

KW - Cohomological dimension

KW - Extension dimension

KW - Finitistic spaces

KW - Hereditary shape equivalences

KW - Refinable maps

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ER -

On classes of maps which preserve finitisticness

Abstract

Keywords

ASJC Scopus subject areas

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