Sobre la caracterización del álgebra topológica de las funciones reales y continuas sobre un espacio topológico

In this memory there are used techniques of the theory of the Ordered Algebraic Structures, Duality in Locally Convex Lattices and Locally m-Convex Algebras, to give partial solutions to the classical problem of characterizing C(X), the space of real continuous functions on a completamente regularly space X. Concretely there are obtained characterizations of Ck (X) (C (X) endowed withe the compact convergence topology) as a Locally m-Convex algebra in two particular cases: for X a realcompact Kr-space and for X normal. Taking into account that, when X is realcompact, the compact convergence topology on C (X) coincides with its order topology, the previous algebraic-topological characterications have allowed, in particular, to contribute with tho new partial solutions to he problem of the algebraic characterization of C (X): for X a realcompact kr-space and for X normal and realcompact

Grantor dc:publisher

Universidad de Extremadura (España)

Year dc:date

2003

Author dc:creator

• Pulgarín García, Antonio Ángel

Contributors dc:contributor

• Montalvo Durán, Francisco (Universidad de Extremadura)
• Requejo Fernández, Batildo (Universidad de Extremadura)

• Matemáticas
• Álgebra
• Retículos
• Análisis y Análisis funcional
• Espacios lineales topológicos
• Topología
• Topología General

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Language dc:language

spa

Repository record dc:identifier

https://dialnet.unirioja.es/servlet/oaites?codigo=639

OAI identifier oai:identifier

oai:dialnet.unirioja.es:TES0000000334