Separation properties of the Wallman ordered compactification

Autor: D. C. Kent, T. A. Richmond
Jazyk: angličtina
Rok vydání: 1990
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 13, Iss 2, Pp 209-221 (1990)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171290000321
Popis: The Wallman ordered compactification ω0X of a topological ordered space X is T2-ordered (and hence equivalent to the Stone-Čech ordered compactification) iff X is a T4-ordered c-space. In particular, these two ordered compactifications are equivalent when X is n dimensional Euclidean space iff n≤2. When X is a c-space, ω0X is T1-ordered; we give conditions on X under which the converse statement is also true. We also find conditions on X which are necessary and sufficient for ω0X to be T2. Several examples provide further insight into the separation properties of ω0X.
Databáze: Directory of Open Access Journals
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