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Título:
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Uniform density and m -density for subrings of C(X
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Autores:
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Garrido, M. Isabel ;
Montalvo, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Universidad de Extremadura, Departamento de Matemáticas, 1994
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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Let C(X) denote the continuous real-valued functions on a topological space X . The question of whether a u -dense subring of C(X) is m -dense is studied in this note. Recall that neighborhoods of a function f in the u -topology are determined by an interval (f??,f+?) for ? a positive number and in the m -topology by intervals (f?e,f+e) for u a positive unit in C(X) . J. Kurzweil [Studia Math. 14 (1954), 214–231, had shown that u -denseness and m -denseness are equivalent for subrings of C(X) closed under bounded inversion. Here, the authors prove that this result is not valid for arbitrary subrings of C(X) . In particular, they show that the property of every u -dense subring being m -dense is equivalent to X being pseudocompact
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En línea:
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https://eprints.ucm.es/id/eprint/21707/1/garrido-montalvo.pdf
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