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2009-03-10 Seminar

Marcin Borkowski
Spaces with abstract polyhedra and fixed points

In 1988, Horvath defined a certain structure in topological spaces, generalizing (among others) a convex polyhedron in Euclidean space, a convex subset of a vector space and a hyperconvex set. In 1995, S. Park and H. Kim proved some fixed point theorems for u.s.c. multifunctions defined on a space with such a structure. We will discuss the proofs and consequences of their theorems.

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