Sandwich-type characterization of completely regular spaces

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

Archivos

1887-5937-1-SM.pdf (98.25 KB)

Fecha

2007-10-01

Autores

Directores

Editores

Otras autorías

Unidades organizativas

Compartir

Handle

https://riunet.upv.es/handle/10251/83070

Cita bibliográfica

Gutiérrez García, J.; Kubiak, T. (2007). Sandwich-type characterization of completely regular spaces. Applied General Topology. 8(2):239-242. https://doi.org/10.4995/agt.2007.1887

Titulación

Resumen

[EN] All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a continuous real-valued function. The known fact that each continuous real valued function on a compact subset o fa Tychonoff space has a continuous extension to the whole space is obtained as a corollary.

Palabras clave

Insertion, Sandwich theorem, Insertion theorem, Completely regular space, Lower semicontinuous, Upper semicontinuous, Compact

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2007.1887

Versión del editor

https://doi.org/10.4995/agt.2007.1887

Enlaces relacionados

URL

Colecciones

Applied General Topology - Vol 08, No 2 (2007)