A Characterization of Order Topologies by Means of Minimal T0-Topologies

In this article we give a purely topological characterization for a topology J on a set X to be the order topology with respect to some linear order R on X, as follows. A topology J on a set X is an order topology$\operatorname{iff} (X, \mathfrak J)$is a T1-space and J is the least upper bound of tw...

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Veröffentlicht in:	Proceedings of the American Mathematical Society 1971-01, Vol.27 (1), p.161-167
Hauptverfasser:	Thron, W. J., Zimmerman, Susan J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Homeomorphism Mathematical lattices Mathematical theorems Separable spaces Topological spaces Topological theorems Topology
Online-Zugang:	Volltext
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