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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 22nd 2012
   • (edited Sep 22nd 2012)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexThere are several entries involving the word 'dense', which are not linked to each other, e.g., [[dense subspace]] and [[dense functor]]. Is there a way of conveying the notion of density abstractly? Dually, is there anything more to codensity than [[codensity monad]]? Should there be 'density comonad'? Is that odd that the link 'codense' in [[codensity monad]] points to [[dense functor]]?

   There are several entries involving the word ’dense’, which are not linked to each other, e.g., dense subspace and dense functor. Is there a way of conveying the notion of density abstractly?

   Dually, is there anything more to codensity than codensity monad? Should there be ’density comonad’?

   Is that odd that the link ’codense’ in codensity monad points to dense functor?

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeSep 23rd 2012
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI think that dense subspace should a priori not be linked to dense functor, like chimpanzee should not be linked to orangutan, though both should be linked from entry monkey. Or maybe better like limits in category theory should not be linked to limits in analysis, though one can make some comparisons. The second question is more interesting, but I am not competent to answer.

   I think that dense subspace should a priori not be linked to dense functor, like chimpanzee should not be linked to orangutan, though both should be linked from entry monkey. Or maybe better like limits in category theory should not be linked to limits in analysis, though one can make some comparisons.

   The second question is more interesting, but I am not competent to answer.