User:Leigh.Samphier/Topology/Locale of Topological Space is Locale
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Theorem
Let $T = \struct{S, \tau}$ be a topological space.
Let $\map \Omega T$ denote the locale of $T$.
Then:
- $\map \Omega T$ is a locale
Proof
Follows immediately from:
$\blacksquare$
Also see
Sources
- 1982: Peter T. Johnstone: Stone Spaces: Chapter II: Introduction to Locales, $\S1.1$