On CCC - Properties of Almost Regular Closed Lindeloff Space

Hamid Reza Sahebi

Abstract


A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover by regular closed sets has a countable subfamily whose union is dense. In this paper we investigate properties of ARC-Lindeloff. In addition, several example will be provided to illustrate our results.

Keywords


RC-LindeloFF, ARC-LindeloFF, Isbell space, Luzin space.

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