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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 10th 2011
   • (edited Nov 10th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexHere is a very vague question, just trying to figure out if something deserves more attention or not. The notion of a _dominance_ as used in the context of "synthetic domain theory" (for a quick statement see [slide 16 here](http://homepages.inf.ed.ac.uk/als/Talks/lfps04.pdf#page=16)) might vaguely remind one a bit of the [[(0,1)-topos]] analog of a reflective subcategory. It's not really, as far as I can see, but might there be a useful statement to be made along these lines? Can we relate dominances to modal logic via this vague similarity? Not that I see many hints that the answer is "yes". But I just would like to try out if this rough idea finds any resonance with anyone here.

   Here is a very vague question, just trying to figure out if something deserves more attention or not.

   The notion of a dominance as used in the context of “synthetic domain theory” (for a quick statement see slide 16 here) might vaguely remind one a bit of the (0,1)-topos analog of a reflective subcategory. It’s not really, as far as I can see, but might there be a useful statement to be made along these lines? Can we relate dominances to modal logic via this vague similarity?

   Not that I see many hints that the answer is “yes”. But I just would like to try out if this rough idea finds any resonance with anyone here.