Pseudocontraction and homotopy of the curve
Author: Hidefumi Katsuura
Journal: Proc. Amer. Math. Soc. 115 (1992), 1129-1138
MSC: Primary 55P99; Secondary 54F99
MathSciNet review: 1092923
Abstract: We will prove that the space curve is not pseudocontractible using itself as the parameter space and that it has finitely many different homotopy equivalent classes of maps.
Keywords: Homotopy, contraction, pseudocontraction, uniform continuity
Article copyright: © Copyright 1992 American Mathematical Society