Authors:
James Hatzenbuhler Mathematics Department Moorhead State University P.O. Box 408 56563 Moorhead MN USA

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A. Don Mattson Mathematics Department Moorhead State University P.O. Box 408 56563 Moorhead MN USA

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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 whichClaX(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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Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1971
Volumes
per Year
2
Issues
per Year
4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address
H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

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