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math.GN2006★ 2 cited
A fixed point theorem for the infinite-dimensional simplex
Douglas Rizzolo, Francis Edward Su
We define the infinite dimensional simplex to be the closure of the convex hull of the standard basis vectors in R^infinity, and prove that this space has the 'fixed point property…
math.GN2004
The LSB theorem implies the KKM lemma
Gwen Spencer, Francis Edward Su
We prove the lemma of Knaster-Kuratowski-Mazurkiewicz as a consequence of the Lusternik-Schnirelman-Borsuk theorem.