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Homotopy of Paths Topology True of false: if X is a subset of Y then π1(X,b)...

Homotopy of Paths Topology

True of false: if X is a subset of Y then π1(X,b) is a subgroup of π1(Y,b).

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Answer #1

Recall that for any Contractible space X, is trivia. Also recall for the unit circle , the , and since is contractible and path connected , but is not a subgroup of .

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