A unified theory for R0 , R1 and certain other separation properties and their variant forms



Título del documento: A unified theory for R0 , R1 and certain other separation properties and their variant forms
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000394701
ISSN: 0037-8712
Autores: 1
2
Instituciones: 1Women's Christian College, Department of Mathematics, Calcuta, Bengala Occidental. India
2University of Calcutta, Department of Pure Mathematics, Calcuta, Bengala Occidental. India
Año:
Volumen: 28
Número: 2
Paginación: 15-24
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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
Disciplinas: Matemáticas
Palabras clave: 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
Texto completo: Texto completo (Ver PDF)