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...
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| Formato: | text (thesis) |
| Lenguaje: | spa |
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Universidad de Extremadura (España)
2003
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| Acceso en línea: | https://dialnet.unirioja.es/servlet/oaites?codigo=639 |
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| Sumario: | 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 |
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