In this question [1]: Induced map of homology groups of torus I couldn't understand the induced map on $H_1(X)$, $f_∗:H_1(X)→H_1(X)$ look like, how we define this map ?
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1The same way you define induced maps on homology for any map of spaces? You can find the definition in any algebraic topology book. – Jan 08 '16 at 15:37
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@Mike this is general problem of me. I could not define the induce maps on homology. I read Hatcher Alg.Topology book but I haven't seen anything about it. – user365 Jan 08 '16 at 15:49
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Have you tried the index at the back of the book? – Lee Mosher Jan 09 '16 at 03:17
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@Lee soryy for delayed reply, I have looked but I didin't see anything about calculation about induced map. Do you think I overlook something? – user365 Jan 13 '16 at 11:06
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Did you look up the word "induced" in the index? – Lee Mosher Jan 13 '16 at 14:39