New Topologies on the Rings of Continuous Functions

F. Manshoor

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).

Keywords


C(X), closed maximal ideal, strongly pseudocompact

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.