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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Some nowhere equicontinuous homeomorphisms
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by Ki Woong Kim PDF
Proc. Amer. Math. Soc. 60 (1976), 304-308 Request permission

Abstract:

It is shown that a nowhere equicontinuous homeomorphism can be defined on a compact polyhedron X if and only if X does not have cell decomposition which contains a principal 1-cell. It is also shown that for each locally connected contractible continuum C in the plane, there is a nowhere equicontinuous homeomorphism ${h_c}$ on a disk in the plane such that the fixed point set of ${h_c}$ is C.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 60 (1976), 304-308
  • MSC: Primary 57E20; Secondary 54H20
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0423391-0
  • MathSciNet review: 0423391