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Questions taking place in the category of locales, which is given by the opposite of the category of frames. Also appropriate for questions about pointless topology.

6 votes
0 answers
149 views

Spatiality of products of locally compact locales

Is this lemma still valid for a family of locally compact spatial locales, that is, if $\{X_{\alpha}\}_{\alpha}$ is a family of locally compact spatial locales is the locale $\prod_{\alpha}X_{\alpha}$ … Or anyone knows a modification for a countable family of locally compact spatial locales? Thanks in advanced. …
Angel Zaldívar's user avatar
3 votes
0 answers
447 views

Topos Theory, internal Heyting Algebra

Given a topos $\mathcal{E}$ with subobject classifier $\Omega$. If we denote by $N\Omega$ the former of all local operators on $\Omega$, that is, Lawvere–Tierney topologies of $\mathcal{E}$, it is kn …
Angel Zaldívar's user avatar