REAL COMPACTIFICATIONS THROUGH ZERO-SET SPACES
作者:
ChristopherR.A. Gilmour,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1983)
卷期:
Volume 6,
issue 1-3
页码: 73-95
ISSN:1607-3606
年代: 1983
DOI:10.1080/16073606.1983.9632293
出版商: Taylor & Francis Group
关键词: Primary 54D60;54C50;Secondary 54E99;54B10
数据来源: Taylor
摘要:
The Alexandroff (= zero-set) spaces were introduced in [l] as the “completely normal spaces”, and have been studied in a number of more recent papers. In this paper we unify the theory of Wallman realcompactifications via the Alexandroff bases and introduce the realcompactfine Alexandroff spaces as particularly relevant to their investigation. These latter spaces are defined analogously to the A-c uniform spaces which are based on a construction of A.W. Hager [25].
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