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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Axiomatic shape theory
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by Philip Bacon
Proc. Amer. Math. Soc. 53 (1975), 489-496
DOI: https://doi.org/10.1090/S0002-9939-1975-0420611-2

Abstract:

The notion of shape theory is so defined that, if ${\text {H}}$ is a category and ${\text {W}}$ is a subcategory of ${\text {H}}$, all shape theories on $({\text {H,}}\;{\text {W}})$ are isomorphic and, under a mild condition, a shape theory on $({\text {H,}}\;{\text {W}})$ always exists. Additional theorems facilitate the comparison of shape theories constructed by various means.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 489-496
  • MSC: Primary 55D99
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0420611-2
  • MathSciNet review: 0420611