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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Peano continuum homeomorphic to its own square but not to its countable infinite product
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by Jan van Mill
Proc. Amer. Math. Soc. 80 (1980), 703-705
DOI: https://doi.org/10.1090/S0002-9939-1980-0587960-0

Abstract:

We give an example of a Peano continuum X with ${X^2} \approx X$ but $X^\infty \approx X$.
References
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 703-705
  • MSC: Primary 54F20; Secondary 54B10, 54G15
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0587960-0
  • MathSciNet review: 587960