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  • Author or Editor: A. Don Mattson x
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Let ?X indicate the Freudenthal compactification of a rimcompact, completely regular Hausdorff spaceX. In this paper the spacesY which satisfyX?Y??X are characterized. From this a characterization of whenX lies between its locally compact partL(X) and ?(L(X)) follows. Such spaces necessarily possess a compactification aX for whichCl aX(aX-X) is 0-dimensional. Conditions, including those internal toX, are provided which are necessary and sufficient for this property to hold.

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