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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The space of all self-homeomorphisms of a two-cell which fix the cell’s boundary is an absolute retract
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by W. K. Mason
Trans. Amer. Math. Soc. 161 (1971), 185-205
DOI: https://doi.org/10.1090/S0002-9947-1971-0286067-9

Abstract:

The theorem mentioned in the title is proved. A corollary of the title theorem is: any homeomorphism between two compact subsets of the function space mentioned in the title can be extended to a homeomorphism of the function space onto itself.
References
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 161 (1971), 185-205
  • MSC: Primary 54.28
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0286067-9
  • MathSciNet review: 0286067