Abstract
dc:descriptionIn 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Saveliev, Peter
- Contributors dc:contributor
-
- M.-E. Hamstrom
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9953127
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86987