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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The closure of the space of homeomorphisms on a manifold
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by William E. Haver PDF
Trans. Amer. Math. Soc. 195 (1974), 401-419 Request permission

Abstract:

The space, $\bar H(M)$, of all mappings of the compact manifold M onto itself which can be approximated arbitrarily closely by homeomorphisms is studied. It is shown that $\bar H(M)$ is homogeneous and weakly locally contractible. If M is a compact 2-manifold without boundary, then $\bar H(M)$ is shown to be locally contractible.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 195 (1974), 401-419
  • MSC: Primary 57E05; Secondary 57A20
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0362375-0
  • MathSciNet review: 0362375