A unified theory for R0 , R1 and certain other separation properties and their variant forms
Document title: A unified theory for R0 , R1 and certain other separation properties and their variant forms
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000394701
ISSN: 0037-8712
Authors: 1
2
Institutions: 1Women's Christian College, Department of Mathematics, Calcuta, Bengala Occidental. India
2University of Calcutta, Department of Pure Mathematics, Calcuta, Bengala Occidental. India
Year:
Volumen: 28
Number: 2
Pages: 15-24
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract The purpose of the present paper is towards working out a unified version of the study of certain separation axioms and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by A´. Csa´sza´r, we introduce unified definitions of R0, R1, T0 and T1 spaces and derive results concerning them from which many of the existing results follow as special cases
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Axiomas de separación,
Espacios topológicos,
Topología,
Conjuntos semiabiertos,
Semicontinuidad
Keyword: Mathematics,
Pure mathematics,
Separation axioms,
Topological spaces,
Topology,
Semi-open sets,
Semi-continuity
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