MAPPINGS TO REALCOMPACTIFICATIONS

Mappings to Realcompactifications

Mappings to Realcompactifications

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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 between Tank Tops 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 Puzzle notes on the realcompactifications generated by ideals.

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