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.
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