Category:Locales

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

An object of $\mathbf{Loc}$ is called a locale.

That is, a locale is a complete lattice $\struct {L, \preceq}$ satisfying the infinite join distributive law:

$\ds \forall a \in L, S \subseteq L:$

$\ds a \wedge \bigvee S = \bigvee \set {a \wedge s : S \in S} $

where $\bigvee S$ denotes the supremum $\sup S$.

Subcategories

This category has only the following subcategory.

The following 6 pages are in this category, out of 6 total.