Computation of the z-radical in C(X)

Tressl, Marcus (2006) Computation of the z-radical in C(X). ADVANCES IN GEOMETRY, 6 (1). pp. 139-175. ISSN 1615-715X,

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Abstract

We say that a Tychonoff space X has computable z-radicals if for all ideals a of C(X), the smallest z-ideal containing a is generated as an ideal by all the s circle f, where f is in a and s is a continuous function R --> R with s(-1)(0) = {0}. We show that every cozero set of a compact space has computable z-radicals and that a subset X of R-n has computable z-radicals if and only if X is locally closed.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Mar 2021 06:05
Last Modified: 01 Mar 2021 06:05
URI: https://pred.uni-regensburg.de/id/eprint/35043

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