Answered: 10. Let X and Y be topological spaces.…

10. Let X and Y be topological spaces. Show that if either X or Y is con- tractible, then every continuous map from X to Y is homotopic to a constant map.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 9TFE: Label each of the following statements as either true or false. 9. Composition of mappings is an...

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7-10. Let X and Y be topological spaces. Show that if either X or Y is con-
tractible, then every continuous map from X to Y is homotopic to a constant
map.

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