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Homotopy paths

  1. Jan 8, 2012 #1
    i stuck when i want to prove theorem 51.3 in munkres 2en editions about homotopy paths

    Let f be a path in X , and let a0 , .... , an be numbers such that 0= a0 < a1 < ... < an. Let fi : I → X be the path that equals the positive linear map of I onto [ai-1, ai] followed by f then

    [f] = [f1] * ..... * [fn]

    any idea to start prove this theorems?
  2. jcsd
  3. Jan 9, 2012 #2


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    draw a picture.
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