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Title:Fixed Points and Coincidences
Author(s):Saveliev, Peter
Doctoral Committee Chair(s):M.-E. Hamstrom
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In Chapter 1 a Lefschetz-type coincidence theorem for two maps from an arbitrary topological space to a manifold is given: the coincidence index is equal to the Lefschetz number. It follows that if the Lefschetz number of the pair is not zero then the maps have a coincidence. In Chapter 2 we introduce abstract convex structures on topological spaces. In Chapter 3 we provide theorems extending the well-known fixed point theorems for multivalued maps on topological vector spaces, as well as some selection theorems.
Issue Date:1999
Type:Text
Language:English
Description:96 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.
URI:http://hdl.handle.net/2142/86987
Other Identifier(s):(MiAaPQ)AAI9953127
Date Available in IDEALS:2015-09-28
Date Deposited:1999


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