New Topologies on the Rings of Continuous Functions

Authors

  • F. Manshoor

Keywords:

C(X), closed maximal ideal, strongly pseudocompact

Abstract

Two new topologies are defined on

C(X). These topologies makeC(X) to be a zero-dimensional (completely regular) Hausdorff space.C(X) endowed by these topologies is denoted by Co(X) andCo−1 (X). The relations between X, Co(X) and Co−1 (X) are studied and closedness of z-ideals and maximal ideals are investigated in Co(X)and Co−1 (X).

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Published

2013-09-14

Issue

Vol. 6

Section

Vol. 6, No. 4, (2012)

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