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).
Recommended Citation
Lynch, Mark James, "Spaces of Order Arcs in Hyperspaces of Subcontinua." (1985). LSU Historical Dissertations and Theses. 4099.
https://repository.lsu.edu/gradschool_disstheses/4099
Pages
61
DOI
10.31390/gradschool_disstheses.4099