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https://hdl.handle.net/2142/86987
Description
Title
Fixed Points and Coincidences
Author(s)
Saveliev, Peter
Issue Date
1999
Doctoral Committee Chair(s)
M.-E. Hamstrom
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
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