Welcome to MathOverflow

Question

1

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
6,987●20●43

asked Jul 22 2010 at 15:53

vsb1357
15●4

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

3

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
13.9k●1●32●68

Knaster-Kuratowski-Mazurkiewicz (KKM ) Thoerem

Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)

1 Answer

You can accept an answer to one of your own questions by clicking the check mark next to it. This awards 15 reputation points to the person who answered and 2 reputation points to you.