## Question

###### Let Y be contractible. Let e be the constant map at yo â‚¬ Y. Let & : [ _ Y be a map such that a(0) = 0(1) = yo. Must [a] be the same element of T1(Y, yo) as [e]? If so prove it, if not give a counterexample.

Let Y be contractible. Let e be the constant map at yo â‚¬ Y. Let & : [ _ Y be a map such that a(0) = 0(1) = yo. Must [a] be the same element of T1(Y, yo) as [e]? If so prove it, if not give a counterexample.

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