Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions

Katsuya Eda

doi:10.1016/0166-8641(89)90104-1

Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions

Katsuya Eda^*

^*Corresponding author for this work

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

Abstract

Let K be a 0-dimensional compact Hausdorff space. Then, there exists a group homomorphism Φ from C(K, Z), the group of all continuos integer-valued functions, to the group of integers Z such that K is the minimal support of Φ.

Original language	English
Pages (from-to)	235-240
Number of pages	6
Journal	Topology and its Applications
Volume	33
Issue number	3
DOIs	https://doi.org/10.1016/0166-8641(89)90104-1
Publication status	Published - 1989
Externally published	Yes

Keywords

0-dimensional
Abelian group
C(X, Z)
compact
minimal support

ASJC Scopus subject areas

Geometry and Topology

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10.1016/0166-8641(89)90104-1

Cite this

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title = "Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions",

abstract = "Let K be a 0-dimensional compact Hausdorff space. Then, there exists a group homomorphism Φ from C(K, Z), the group of all continuos integer-valued functions, to the group of integers Z such that K is the minimal support of Φ.",

keywords = "0-dimensional, Abelian group, C(X, Z), compact, minimal support",

author = "Katsuya Eda",

year = "1989",

doi = "10.1016/0166-8641(89)90104-1",

language = "English",

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T1 - Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions

AU - Eda, Katsuya

PY - 1989

Y1 - 1989

N2 - Let K be a 0-dimensional compact Hausdorff space. Then, there exists a group homomorphism Φ from C(K, Z), the group of all continuos integer-valued functions, to the group of integers Z such that K is the minimal support of Φ.

AB - Let K be a 0-dimensional compact Hausdorff space. Then, there exists a group homomorphism Φ from C(K, Z), the group of all continuos integer-valued functions, to the group of integers Z such that K is the minimal support of Φ.

KW - 0-dimensional

KW - Abelian group

KW - C(X, Z)

KW - compact

KW - minimal support

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DO - 10.1016/0166-8641(89)90104-1

M3 - Article

AN - SCOPUS:45349111210

SN - 0166-8641

VL - 33

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JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions

Abstract

Keywords

ASJC Scopus subject areas

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