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Homotopy book

  1. Nov 27, 2004 #1

    I've been studiing homotopy this semester in a readings course out of Munkres Topology book. I'm in the mismash about free groups, wedgies of circles and pasting stuff. Could you recommend a lower level text that I could peruse as a supplemental text? Something a bit more explicit for those times when I'm dumber than usual.

    Your responses are appreciated, thank you...

  2. jcsd
  3. Nov 28, 2004 #2


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    well munkres is usually considered about as explicit and user friendly as books come, but there is a lower level book on the first homotopy group, i.e. the "fundamental group", that i started on and appreciated very much as a college student. It is by Andrew Wallace, and all his books are written to be understood.

    this might be it, but it would be wise to search in your library.

    Wallace, Andrew H.
    Algebraic Topology: International Series of Monographs in Pure and Applied Mathematics
    Pergamon Press, 1957 Good/No Jacket. Slight signs of wear. Paperclip embossment to front endpapers. Binding is Cloth.
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  4. Nov 28, 2004 #3
    Thanks, my library has a copy so I'll check that out tomorrow. You're right Munkres is pretty clear, however every once and a while I get the rigor-blues.


  5. Nov 29, 2004 #4


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    wallace has another book, a more recent one with covering spaces and classification of compact surfaces as well as fundamental groups. at elast i thinkj that was wallace, but this one is the one i started on.
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