(1) Let k: Y → Z to be a map;• Prove that if fo, f: X Y are homotopic maps, then ko fo, ko fi: X - Z arehomotopic,• Prove that if fo, f: 1.Y are path homotopic paths, then ko fo, ko fi: I, + Zare path homotopic paths.

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Answered: Let k: Y → Z to be a map; • Prove that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Let k: Y → Z to be a map; • Prove that if fo, fi: X → Y are homotopic maps, then ko fo, ko fi: X Z are homotopic. • Prove that if fo, fi: 1, → Y are path homotopic paths, then ko fo, ko fi: 1, → Z are path homotopic paths.