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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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Homogeneous inverse limit spaces with nonregular covering maps as bonding maps
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by James T. Rogers and Jeffrey L. Tollefson PDF
Proc. Amer. Math. Soc. 29 (1971), 417-420 Request permission

Abstract:

We construct counterexamples to the conjecture that, in an inverse sequence $(X,f)$ of closed manifolds ${X_n}$ with covering maps $f_m^n:{X_n} \to {X_m}$ as bonding maps, if the inverse limit space is homogeneous, then there exists an integer m such that (for all $n > m$) the covering map $f_m^n:{X_n} \to {X_m}$ is regular.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 29 (1971), 417-420
  • MSC: Primary 54.25
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0273561-5
  • MathSciNet review: 0273561