Title

Multi-selectible continua

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.

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