S^2 is the sphere, RP^2 is the real projective plane (c) Every continuous map RP² → S² is homotopic to the constant map.

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Answered: ) Every continuous map RP2 → S² is…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 12EQ

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) Every continuous map RP2 → S² is homotopic to the constant map.