# Category:Either-Or Topology

This category contains results about Either-Or Topology.

Let $S = \closedint {-1} 1$ be the closed interval on the real number line from $-1$ to $1$.

Let $\tau \subseteq \powerset S$ be a subset of the power set of $S$ such that, for any $H \subseteq S$:

$H \in \tau \iff \paren {\set 0 \nsubseteq H \lor \openint {-1} 1 \subseteq H}$

where $\lor$ is the inclusive-or logical connective.

Then $\tau$ is the either-or topology, and $T = \struct {S, \tau}$ is the either-or space

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Either-Or Topology"

The following 19 pages are in this category, out of 19 total.