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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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Pseudocontraction and homotopy of the $\sin (1/x)$ curve
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by Hidefumi Katsuura PDF
Proc. Amer. Math. Soc. 115 (1992), 1129-1138 Request permission

Abstract:

We will prove that the space $\sin 1/x$ curve is not pseudocontractible using itself as the parameter space and that it has finitely many different homotopy equivalent classes of maps.
References
  • Wayne Lewis, Homogeneous continua and continuous decompositions, Proceedings of the 1983 topology conference (Houston, Tex., 1983), 1983, pp. 71–84. MR 738471
    • Houston Problem Book, Department of Mathematics, University of Houston.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 115 (1992), 1129-1138
  • MSC: Primary 55P99; Secondary 54F99
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1092923-3
  • MathSciNet review: 1092923