### Abstract

It is proved that a topological space X admits an AR-resolution (in the sense of [6]) if and only if X has trivial (strong) shape.

Original language | English |
---|---|

Pages (from-to) | 749-752 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 102 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1988 |

Externally published | Yes |

### Fingerprint

### Keywords

- AR-spaces
- Inverse limit
- Resolution
- Shape
- Strong shape

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*102*(3), 749-752. https://doi.org/10.1090/s0002-9939-1988-0929015-6

**Spaces which admit ar-resolutions.** / Koyama, Akira; Mardešić, S.; Watanabe, T.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 102, no. 3, pp. 749-752. https://doi.org/10.1090/s0002-9939-1988-0929015-6

}

TY - JOUR

T1 - Spaces which admit ar-resolutions

AU - Koyama, Akira

AU - Mardešić, S.

AU - Watanabe, T.

PY - 1988

Y1 - 1988

N2 - It is proved that a topological space X admits an AR-resolution (in the sense of [6]) if and only if X has trivial (strong) shape.

AB - It is proved that a topological space X admits an AR-resolution (in the sense of [6]) if and only if X has trivial (strong) shape.

KW - AR-spaces

KW - Inverse limit

KW - Resolution

KW - Shape

KW - Strong shape

UR - http://www.scopus.com/inward/record.url?scp=84966211877&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966211877&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-1988-0929015-6

DO - 10.1090/s0002-9939-1988-0929015-6

M3 - Article

AN - SCOPUS:84966211877

VL - 102

SP - 749

EP - 752

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -