Category:Generalized Ordered Spaces

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This category contains results about Generalized Ordered Spaces.
Definitions specific to this category can be found in Definitions/Generalized Ordered Spaces.


$\left({S, \preceq, \tau}\right)$ is a generalized ordered space if and only if:

$(1): \quad \left({S, \tau}\right)$ is a Hausdorff space
$(2): \quad$ there exists a basis for $\left({S, \tau}\right)$ whose elements are convex in $S$.