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Koyama, Akira and Morón, Manuel A.
(2002)
*On classes of maps which preserve finitisticness.*
Proceedings of the American Mathematical Society, 130
(10).
pp. 3091-3096.
ISSN 0002-9939

PDF
Restringido a Repository staff only 297kB |

Official URL: http://www.ams.org/journals/proc/2002-130-10/S0002-9939-02-06402-X/S0002-9939-02-06402-X.pdf

## 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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Cell-like maps; cohomological dimension; refinable maps; property-c; spaces; finitistic spaces; refinable maps; c-refinable maps; hereditary shape equivalences; extension dimension; cohomological dimension |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 15291 |

Deposited On: | 21 May 2012 09:41 |

Last Modified: | 12 Dec 2018 15:13 |

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