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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。 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 36.238.90.174