Linearly orderable space: Difference between revisions

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===Weaker properties===
===Weaker properties===


* [[Monotonically normal space]]
* [[Hereditarily normal space]]
* [[Normal space]]
* [[Normal space]]
* [[Regular space]]
* [[Regular space]]
* [[Hausdorff space]]
* [[Hausdorff space]]

Revision as of 20:14, 17 December 2007

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

Definition

A topological space is termed linearly orderable if it occurs as the underlying topological space of a linearly ordered space (viz it can be obtained by giving the order topology to a linearly ordered set).

Relation with other properties

Stronger properties

Weaker properties