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Let fg,:I→R2 begivenby f(x) = (0, x), g(x) = (1, x). a. Specify a homotopy h:I × I→R2 from f to g. b. Specify a homotopy h:I × I→R2 from g to f.

Let fg,:I→R2 begivenby f(x) = (0, x), g(x) = (1, x). a. Specify a homotopy h:I × I→R2 from f to g. b. Specify a homotopy h:I × I→R2 from g to f.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let fg,:I→R2 begivenby
f(x) = (0, x), g(x) = (1, x).

a. Specify a homotopy h:I × I→R2 from f to g.

b. Specify a homotopy h:I × I→R2 from g to f.

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