Preprint No. A-03-06

Gerhard Preuss

A Stone-Weierstrass type theorem for semiuniform convergence spaces

Abstract: A Stone-Weierstrass type theorem for semiuniform convergence spaces is proved. It implies the classical Stone-Weierstrass theorem as well as a Stone-Weierstrass type theorem for filter spaces due to Bentley, Husek and Lowen-Colebunders.

Keywords: Semiuniform convergence spaces, filter spaces, algebra of functions, uniformity of uniform convergence

Mathematics Subject Classification (MSC2000): 46E25, 54C35, 54E15

Language: ENG

Available: Pr-A-03-06.ps

Contact: Gerhard Preuss, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (preuss@math.fu-berlin.de)

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