can anyone tell me how to prove Brouwer’s Fixed Point Theorem

Printable View

- October 6th 2007, 04:00 PMstill_alivefixed point Theorem
can anyone tell me how to prove Brouwer’s Fixed Point Theorem

- October 6th 2007, 04:06 PMtopsquark
Did you do a search? (Thinking)

-Dan - October 6th 2007, 04:37 PMPlato
This is really not meant to be off-putting, but I must wonder why this topological question is posted in an

**applied mathematics**forum? - October 6th 2007, 04:55 PMThePerfectHacker
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.

- October 6th 2007, 08:44 PMstill_alive
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.