Mappings to Realcompactifications

Mappings to Realcompactifications

Blog Article

In this paper, we introduce and study a mapping from the collection of all intermediate rings of $C(X)$ to the collection of all realcompactifications of $X$ contained in $beta X$.By establishing the relations Wire Cages between this mapping and its converse, we give a different approach to the main statements of De et.al.Using these, we provide different answers to the four basic questions raised in Acharyya et.

al.Finally, we give some PROST-FORCE notes on the realcompactifications generated by ideals.