Category:Ordinal Spaces

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


Let $\Gamma$ be a limit ordinal.


Open Ordinal Space

The open ordinal space on $\Gamma$ is the set $\hointr 0 \Gamma$ of all ordinal numbers (strictly) less than $\Gamma$, together with the order topology.


Closed Ordinal Space

The closed ordinal space on $\Gamma$ is the set $\closedint 0 \Gamma$ of all ordinal numbers less than or equal to $\Gamma$, together with the order topology.

Pages in category "Ordinal Spaces"

The following 28 pages are in this category, out of 28 total.