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On the Plane Fixed Point Problem

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.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/25445
Date15 December 2010
CreatorsChambers, Gregory
ContributorsGuth, Lawrence
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis

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