剛開始學代數拓撲,目前在基本群的部分。
我要問一個自己在做習題時,看題目敘述所延伸的問題。
Let π_1(X,x) be the set of basepoint-preserving homotopy classes of maps
(S^1,s)→(X,x), and [S^1,X] the set of homotopy classes of maps S^1→X,
with no condition on basepoints. Is the map π_1(X,x)→[S^1,X] obtained
by ignoring basepoints injective?
希望板友幫忙解答,謝謝。
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