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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Necessary and sufficient conditions for homotopy classification by cohomology and homotopy homomorphisms
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by Martin Sternstein
Proc. Amer. Math. Soc. 34 (1972), 250-256
DOI: https://doi.org/10.1090/S0002-9939-1972-0296942-3

Abstract:

Using obstruction theory tools to a pair of spaces two invariants are defined whose vanishing is a necessary and sufficient condition for homotopy classification of certain maps between these spaces by the induced cohomology and homotopy homomorphisms respectively.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 250-256
  • MSC: Primary 55D15
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0296942-3
  • MathSciNet review: 0296942