The purpose of this paper is to further investigate R0 spaces, R1 spaces, and hyperspaces. The R0 axiom was introduced by N. A. Shanin in 1943. Later, in 1961, A. S. Davis investigated R0 spaces and introduced R1 spaces. Then, in 1975, William Dunham further investigated R1 spaces and proved that several well-known theorems can be generalized from a T2 setting to an R1 setting. In Chapter II R0 and R1 spaces are investigated and additional theorems that can be generalized from a T2 setting to an R1 setting are obtained.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc331244 |
| Date | 12 1900 |
| Creators | Dorsett, Charles I. |
| Contributors | Hagan, Melvin R., Lau, Yiu Wa, Mohat, John T., 1924-, Appling, William D. L., Vaughan, Nick H. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 97 leaves, Text |
| Rights | Public, Dorsett, Charles I., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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