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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/25445

Title: On the Plane Fixed Point Problem
Authors: Chambers, Gregory
Advisor: Guth, Lawrence
Department: Mathematics
Keywords: fixed point theorems
Issue Date: 15-Dec-2010
Abstract: Several conjectured and proven generalizations of the Brouwer Fixed Point Theorem are examined, the plane fixed point problem in particular. The difficulties in proving this important conjecture are discussed. It is shown that it is true when strong additional assumptions are made. Canonical examples are produced which demonstrate the differences between this result and other generalized fixed point theorems.
URI: http://hdl.handle.net/1807/25445
Appears in Collections:Master
Department of Mathematics - Master theses

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