Classifying Topologies through G-Bases

We classify several topological properties of a Tychonoff space X by means of certain locally convex topologies T with a G-base located between the pointwise topology tp and the bounded-open topology tb of the real-valued continuous function space C(X).

Detalles Bibliográficos
Autores: Ferrando, Juan Carlos, López-Pellicer, Manuel
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/30584
Acceso en línea:https://hdl.handle.net/11000/30584
Access Level:acceso abierto
Palabra clave:compact resolution
σ-compact space
hemicompact space
-base
CDU::5 - Ciencias puras y naturales::51 - Matemáticas
Descripción
Sumario:We classify several topological properties of a Tychonoff space X by means of certain locally convex topologies T with a G-base located between the pointwise topology tp and the bounded-open topology tb of the real-valued continuous function space C(X).