Abstract
dc:description.abstractA particular coexistence of multiple continuous selections (a "multi-selection") within a function space for a non-degenerate metric continuum X is investigated for the hyperspaces 2X and C(X). It is demonstrated that (i) multi-selections do not exist for 2X and that (ii) the existence of a multi-selection for C(X) is equivalent to X being a dendrite.
Degree
thesis:*- Name thesis:degree_name
- MS
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 1998
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- McParland, Joseph Edward
- Contributors dc:contributor
-
- Sam B Nadler
- Jack Goody Koontz
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- https://researchrepository.wvu.edu/etd/101
- OAI identifier oai:identifier
- oai:researchrepository.wvu.edu:etd-1104