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

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A class of manifolds covered by Euclidean space
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by J. W. Maxwell PDF
Proc. Amer. Math. Soc. 46 (1974), 414-418 Request permission

Abstract:

The following is the main result: Theorem 1. Suppose ${W^n}$ is a PL manifold which has homotopy type $K(\Pi ,1),W$ has one end $\infty ,{\pi _1}$ is essentially constant at $\infty$, and the induced homomorphism ${\pi _1}(\infty ) \to {\pi _1}(W)$ is an isomorphism. Then the universal cover of $W$ is PL homomorphic to ${R^n}$ provided $n \geq 5$.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 46 (1974), 414-418
  • MSC: Primary 57C99
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0348757-7
  • MathSciNet review: 0348757