- #1

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Let I = [0,1], A = {0, 1, 1/2, 1/3, 1/4, \cdots}. Show that the homotopy extension property does not hold on the pair (I, A).

Thanks in advance,

A

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- Thread starter alyscia
- Start date

- #1

- 10

- 0

Let I = [0,1], A = {0, 1, 1/2, 1/3, 1/4, \cdots}. Show that the homotopy extension property does not hold on the pair (I, A).

Thanks in advance,

A

- #2

- 234

- 0

To me, it seems there must be two functions on A which are homotopic but do not converge to the same point. Once you have that the solution might be easy.

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