Problem 8. Let fg,: I→ R2 be given by f(x) = (0,r), g(x) = (1,2). a. Specify a homotopy h: Ix I→ R2 from f to g. b. Specify a homotopy h: IxI→ R² from g to f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Problem 8. Let fg,: I→ R2 be given by
f(x) = (0,r), g(x) = (1, x).
a. Specify a homotopy h: IxI→ R2 from f to g.
b. Specify a homotopy h: Ix I→ R² from g to f.
Transcribed Image Text:Problem 8. Let fg,: I→ R2 be given by f(x) = (0,r), g(x) = (1, x). a. Specify a homotopy h: IxI→ R2 from f to g. b. Specify a homotopy h: Ix I→ R² from g to f.
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