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 › 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

Access to Document

10.1090/S0002-9939-02-06402-X

Fingerprint Dive into the research topics of 'On classes of maps which preserve finitisticness'. Together they form a unique fingerprint.

Cite this

@article{47c82a9a1ace4f568ee8af02c03cd4d0,

title = "On classes of maps which preserve finitisticness",

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.",

keywords = "C-refinable maps, Cohomological dimension, Extension dimension, Finitistic spaces, Hereditary shape equivalences, Refinable maps",

author = "Akira Koyama and Moron, {Manuel A.}",

year = "2002",

month = oct,

doi = "10.1090/S0002-9939-02-06402-X",

language = "English",

volume = "130",

pages = "3091--3096",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - On classes of maps which preserve finitisticness

AU - Koyama, Akira

AU - Moron, Manuel A.

PY - 2002/10

Y1 - 2002/10

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=0036788791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036788791&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-02-06402-X

DO - 10.1090/S0002-9939-02-06402-X

M3 - Article

AN - SCOPUS:0036788791

VL - 130

SP - 3091

EP - 3096

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 10

ER -

On classes of maps which preserve finitisticness

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this