A note on separation and compactness in categories of convergence spaces

[EN] In previous papers, various notions of compact, T3, T4, and Tychonoff objects in a topological category were introduced and compared. The main objective of this paper is to characterize each of these classes of objects in the categories of filter and local filter convergence spaces as well as t...

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Detalles Bibliográficos
Autores: Baran, Mehmet, Kula, Muammer
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/82299
Acceso en línea:https://riunet.upv.es/handle/10251/82299
Access Level:acceso abierto
Palabra clave:Topological category
Filter convergence spaces
Tychonoff objects
Compact objects
Normal objects
Descripción
Sumario:[EN] In previous papers, various notions of compact, T3, T4, and Tychonoff objects in a topological category were introduced and compared. The main objective of this paper is to characterize each of these classes of objects in the categories of filter and local filter convergence spaces as well as to examine how these various generalizations are related.