Semester
Summer
Date of Graduation
1998
Document Type
Thesis
Degree Type
MS
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Sam B Nadler
Committee Co-Chair
Jack Goody Koontz
Committee Member
Sam B Nadler
Abstract
A 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.
Recommended Citation
McParland, Joseph Edward, "Multi-selectible continua" (1998). Graduate Theses, Dissertations, and Problem Reports. 101.
https://researchrepository.wvu.edu/etd/101
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