Category:Definitions/Tychonoff Plank

This category contains definitions related to Tychonoff Plank.
Related results can be found in Category:Tychonoff Plank.

Let $\omega$ be the first transfinite ordinal.

Let $\Omega$ be the first uncountable ordinal.

Let $\closedint 0 \Omega$ and $\closedint 0 \omega$ be closed ordinal spaces which have both been given the interval topology.

The Tychonoff plank is the topological space defined as:

$T = \closedint 0 \Omega \times \closedint 0 \omega$