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Algebraic properties of the uniform closure of spaces of continuous functions



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Garrido, M. Isabel and Montalvo, Francisco (1996) Algebraic properties of the uniform closure of spaces of continuous functions. In Papers on general topology and applications. Annals of the New York Academy of Sciences (788). New York Academy of Sciences, New York, pp. 101-107. ISBN 0-89766-964-9

Official URL: http://onlinelibrary.wiley.com/doi/10.1111/nyas.1996.788.issue-1/issuetoc



For a completely regular space X, C(X) denotes the algebra of all real-valued and continuous functions over X. This paper deals with the problem of knowing when the uniform closure of certain subsets of C(X) has certain algebraic properties. In this context we give an internal condition, “property A,” to characterize the linear subspaces whose uniform closure is an inverse-closed subring of C(X).

Item Type:Book Section
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Proceedings of the 10th Summer Conference held at the Vrije Universiteit, Amsterdam, August 15–18, 1994.

Uncontrolled Keywords:uniform closure;cozero-set;Property A;inverse-closed subring
Subjects:Sciences > Mathematics > Topology
ID Code:21699
Deposited On:05 Jun 2013 15:47
Last Modified:12 Dec 2018 15:13

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