### 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 |
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Pages (from-to) | 235-240 |

Number of pages | 6 |

Journal | Topology and its Applications |

Volume | 33 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1989 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Geometry and Topology

### Cite this

**Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions.** / Eda, Katsuya.

Research output: Contribution to journal › Article

*Topology and its Applications*, vol. 33, no. 3, pp. 235-240. https://doi.org/10.1016/0166-8641(89)90104-1

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=45349111210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45349111210&partnerID=8YFLogxK

U2 - 10.1016/0166-8641(89)90104-1

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

M3 - Article

AN - SCOPUS:45349111210

VL - 33

SP - 235

EP - 240

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 3

ER -