Date of Award

1985

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Abstract

Eberhart, Nadler, and Nowell asked for which Peano continua X is it true that (GAMMA)(X), the space of order arcs in C(X), is homeomorphic to the Hilbert cube ? They answered the question affirmatively when X contains no free arcs. In Chapter IV, we characterize those 1-dimensional ANR('s) X for which (GAMMA)(X) is homeomorphic to . In Chapters I and II, we develop techniques for analyzing this problem and, in Chapter III, we also apply these techniques in answering some open questions concerning Whitney levels in C(X).

Pages

61

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