i stuck when i want to prove theorem 51.3 in munkres 2en editions about homotopy paths(adsbygoogle = window.adsbygoogle || []).push({});

Let f be a path in X , and let a_{0}, .... , a_{n}be numbers such that 0= a_{0}< a_{1}< ... < a_{n}. Let f_{i}: I → X be the path that equals the positive linear map of I onto [a_{i-1}, a_{i}] followed by f then

[f] = [f_{1}] * ..... * [f_{n}]

any idea to start prove this theorems?

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# Homotopy paths

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