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On T1-compactifications
Somashekhar Amrith Naimpally and Mohan Lal Tikoo |
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Vol. 84 (1979), No. 1, 183–190
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Abstract |
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In a recent paper [4], Reed constructed a class of T1-compactifications which generalized the well known correspondence between T2-compactifications, proximity relations and families of maximal round filters. This class includes the Wallman compactification and the one point compactification of a locally compact T1-space. In this paper the first two problems posed by Reed are solved. In particular we prove that in a nearness space the Reed compactification is equivalent to a cluster compactification. Use is made of the duality between filters and grills as developed by Thron [5]. |
Mathematical Subject Classification 2000
Primary: 54D35
Secondary: 54E05
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Milestones
Received: 18 October 1978
Revised: 2 March 1978
Published: 1 September 1979
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Authors |
| Somashekhar Amrith Naimpally | |
| Mohan Lal Tikoo | |
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