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I have heard about KKM (Knaster-Kuratowski-Mazurkiewicz) theorem in nonlinear analysis and I am trying to use that for a theorem I am working on. The original paper (1929) is in German and all the references I have found on the Net mainly deal with generalizations of this theorem or present the theorem with a lot of complex topological flavor. I was wondering if anybody knows a source which contains this theorem in its basic format.

edited Jul 22 2010 at 17:20

Willie Wong
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asked Jul 22 2010 at 15:53

vsb1357
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Andrey Rekalo · Accepted Answer · 2010-07-22 16:30:27Z UTC

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There is a book devoted entirely to KKM theory and its applications. It contains an outline of the classical KKM theorem as well as a number of generalizations. Another standard reference is "Fixed point theory" by Granas and Dugundji.

edited Jul 22 2010 at 16:30

answered Jul 22 2010 at 16:23

Andrey Rekalo
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Knaster-Kuratowski-Mazurkiewicz (KKM ) Thoerem

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