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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On classes of maps which preserve finitisticness
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by Akira Koyama and Manuel A. Moron PDF
Proc. Amer. Math. Soc. 130 (2002), 3091-3096 Request permission

Abstract:

We shall prove the following: $(1)$ Let $r:X \to Y$ be a refinable map between paracompact spaces. Then $X$ is finitistic if and only if $Y$ is finitistic. $(2)$ Let $f:X \to Y$ be a hereditary shape equivalence between metric spaces. Then if $X$ is finitistic, $Y$ is finitistic.
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Additional Information
  • Akira Koyama
  • Affiliation: Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan
  • Email: koyama@cc.osaka-kyoiku.ac.jp
  • Manuel A. Moron
  • Affiliation: Unidad Dovente de Matematicas, E. T. S. I. Montes, Universidad Politt́ecnica, 28040, Madrid, Spain
  • Email: mam@montes.upm.es
  • Received by editor(s): December 12, 2000
  • Received by editor(s) in revised form: April 24, 2001
  • Published electronically: March 13, 2002
  • Additional Notes: This work was started when the first author visited Departmento de Geometria y Topologia, Facultad de Ciencias Matematicas, Universidad Complutense de Madrid.
  • Communicated by: Alan Dow
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3091-3096
  • MSC (2000): Primary 55M10, 54F45
  • DOI: https://doi.org/10.1090/S0002-9939-02-06402-X
  • MathSciNet review: 1908934