S^2 is the sphere, T^2 is the torus or 2-torus (b) Every continuous map S? → T² is homotopic to the constant map.

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Answered: (b) Every continuous map S? →T² is…

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(b) Every continuous map S? →T² is homotopic to the constant map.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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S^2 is the sphere, T^2 is the torus or 2-torus

(b) Every continuous map S? → T² is homotopic to the constant map.

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