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1. • CommentRowNumber1.
   • CommentAuthorTodd_Trimble
   • CommentTimeNov 27th 2010
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI added some more details to the section on ultrafilter monad at [[ultrafilter]]. Incidentally, it seems to me that the bit on Barr's observation ("topological spaces = relational $\beta$-modules") is too terse. There is a lot of generalized topology via abstract nonsense that deserves more explanation. I also added some elementary material to [[cartesian closed category]], mainly to indicate to the novice how exponentials deserve to be thought of as function spaces, how internal composition works, and so forth. I left the job somewhat unfinished.

   I added some more details to the section on ultrafilter monad at ultrafilter. Incidentally, it seems to me that the bit on Barr’s observation (“topological spaces = relational $\beta$-modules”) is too terse. There is a lot of generalized topology via abstract nonsense that deserves more explanation.

   I also added some elementary material to cartesian closed category, mainly to indicate to the novice how exponentials deserve to be thought of as function spaces, how internal composition works, and so forth. I left the job somewhat unfinished.