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 se...

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Bibliographic Details
Main Author:	Dorsett, Charles I.
Other Authors:	Hagan, Melvin R.
Format:	Others
Language:	English
Published:	North Texas State University 1976
Subjects:	topological spaces hyperspaces Topological spaces.
Online Access:	https://digital.library.unt.edu/ark:/67531/metadc331244/

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record_format	oai_dc
spelling	ndltd-unt.edu-info-ark-67531-metadc3312442019-02-12T05:50:40Z R₀ Spaces, R₁ Spaces, And Hyperspaces Dorsett, Charles I. topological spaces hyperspaces Topological spaces. 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. North Texas State University Hagan, Melvin R. Lau, Yiu Wa Mohat, John T., 1924- Appling, William D. L. Vaughan, Nick H. 1976-12 Thesis or Dissertation iii, 97 leaves Text local-cont-no: 1002784107-Dorsett call-no: 379 N81d no.1114 untcat: b1108164 oclc: 3015321 https://digital.library.unt.edu/ark:/67531/metadc331244/ ark: ark:/67531/metadc331244 English Public Dorsett, Charles I. Copyright Copyright is held by the author, unless otherwise noted. All rights reserved.
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	topological spaces hyperspaces Topological spaces.
spellingShingle	topological spaces hyperspaces Topological spaces. Dorsett, Charles I. R₀ Spaces, R₁ Spaces, And Hyperspaces
description	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.
author2	Hagan, Melvin R.
author_facet	Hagan, Melvin R. Dorsett, Charles I.
author	Dorsett, Charles I.
author_sort	Dorsett, Charles I.
title	R₀ Spaces, R₁ Spaces, And Hyperspaces
title_short	R₀ Spaces, R₁ Spaces, And Hyperspaces
title_full	R₀ Spaces, R₁ Spaces, And Hyperspaces
title_fullStr	R₀ Spaces, R₁ Spaces, And Hyperspaces
title_full_unstemmed	R₀ Spaces, R₁ Spaces, And Hyperspaces
title_sort	r₀ spaces, r₁ spaces, and hyperspaces
publisher	North Texas State University
publishDate	1976
url	https://digital.library.unt.edu/ark:/67531/metadc331244/
work_keys_str_mv	AT dorsettcharlesi r0spacesr1spacesandhyperspaces
_version_	1718976098173190144

R₀ Spaces, R₁ Spaces, And Hyperspaces

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