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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Homotopy smoothing certain PL-manifolds
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by James A. Schafer
Proc. Amer. Math. Soc. 50 (1975), 399-402
DOI: https://doi.org/10.1090/S0002-9939-1975-0368020-9

Abstract:

It is shown any simply connected almost parallelizable PL-manifold of dimension $4k + 2 \ne {2^j} - 2 \geq 6$ has the homotopy type of a smooth manifold if and only if $M$ is stably parallelizable.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 50 (1975), 399-402
  • MSC: Primary 57D10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0368020-9
  • MathSciNet review: 0368020