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Scattered spaces and their compactifications

✍ Scribed by R.C. Solomon

Publisher: Elsevier Science
Year: 1978
Weight: 377 KB
Volume: 8
Category: Article
ISSN: 0016-660X
DOI: 10.1016/0016-660x(78)90010-7

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✦ Synopsis

We show that a known restriction on the cardinalities of closures of subspaces of scattered spaces, 1 A 1 S 2'*', cannot be improved to 1 A 1 s 1 A I", f or any A. We then find a wide class of T.34. scattered spaces which have no scattered compactification: the:{: spaces are derived from regular filters over cardinals bigger than 8t,.

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