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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJul 21st 2013
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexstub at [[locally compact locale]]

   stub at locally compact locale

2. • CommentRowNumber2.
   • CommentAuthorIngoBlechschmidt
   • CommentTimeNov 16th 2015
   • PermaLink
   Author: IngoBlechschmidt
   Format: MarkdownItexAdded to _[[locally compact locale]]_ a class of examples of locally compact locales which may constructively fail to be spatial, namely spectra of rings. In the process I noticed that our entry on the _spectrum of a commutative ring_ needs some love. For instance, it is missing a constructively sensible construction (as a locale or directly as a topos, as referenced [in this recent math.SE question](http://math.stackexchange.com/questions/1532244/joyals-construction-of-the-spectrum-of-a-commutative-ring)), the formulation of its universal property, and a discussion of its relation to Hakim's very general spectrum construction and to the relative spectrum construction commonly used in algebraic geometry. When time allows, I'll have a go at these additions.

   Added to locally compact locale a class of examples of locally compact locales which may constructively fail to be spatial, namely spectra of rings.

   In the process I noticed that our entry on the spectrum of a commutative ring needs some love. For instance, it is missing a constructively sensible construction (as a locale or directly as a topos, as referenced in this recent math.SE question), the formulation of its universal property, and a discussion of its relation to Hakim’s very general spectrum construction and to the relative spectrum construction commonly used in algebraic geometry. When time allows, I’ll have a go at these additions.