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 $n \geq 5$.References
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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