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Math Help - fixed point Theorem

  1. #1
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    fixed point Theorem

    can anyone tell me how to prove Brouwer’s Fixed Point Theorem
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by still_alive View Post
    can anyone tell me how to prove Brouwer’s Fixed Point Theorem
    Did you do a search?

    -Dan
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    This is really not meant to be off-putting, but I must wonder why this topological question is posted in an applied mathematics forum?
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    It does have some application, for example, if you crumble a paper and put it on the same paper there will be one point in common as it was before. But still I moved it.
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  5. #5
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    Hi,thx for your replies.....
    da question is :
    Let f be a continuous map on R^2, and S a rectangle with vertical sides sL and sR, and horizontal sides sT and sB. Assume that
    f (sL) and f (sR) surround sL and sR (in terms of x-coordinates), and
    that f (sT) and f (sB) surround sT and sB (in terms of y-coordinates).Show that f has a fixed point in S.
    Last edited by still_alive; October 6th 2007 at 08:01 PM.
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