Record Details
On the Canton set
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | On the Canton set |
| Names |
Chow, Theresa Kee Yu
(creator) Arnold, B. H. (advisor) |
| Date Issued | 1965-01-07 (iso8601) |
| Note | Graduation date: 1965 |
| Abstract | The Cantor set is a compact, totally disconnected, perfect subset of the real line. In this paper it is shown that two non-empty, compact, totally disconnected, perfect metric spaces are homeomorphic. Furthermore, a subset of the real line is homeomorphic to the Cantor set if and only if it is obtained from a closed interval by removing a class of disjoint, separated from each other but sufficiently dense open intervals. |
| Genre | Thesis/Dissertation |
| Topic | Topology |
| Identifier | http://hdl.handle.net/1957/48564 |
