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On the intrinsic topology and some related ideals of $C(X)$

✍ Scribed by Karamzadeh, O. A. S.; Rostami, M.

Book ID: 127193491
Publisher: American Mathematical Society
Year: 1985
Tongue: English
Weight: 649 KB
Volume: 93
Category: Article
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1985-0766552-9

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Let C(X) be the algebra of all K-valued continuous functions (K = ~. or C) on a normal (and TO topological space X, and let ~'x be the topology of compact convergence on C(X). The following properties are well known: (ill) the only closed ideals of (C(X), ~'x) ate the ideals of the form {.f E C(X)