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R₀ Spaces, R₁ Spaces, And Hyperspaces

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc331244
Date12 1900
CreatorsDorsett, Charles I.
ContributorsHagan, Melvin R., Lau, Yiu Wa, Mohat, John T., 1924-, Appling, William D. L., Vaughan, Nick H.
PublisherNorth Texas State University
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 97 leaves, Text
RightsPublic, Dorsett, Charles I., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved.

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