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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 17th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexand now I even ended up creating a new floating table of contents: _[[equality and equivalence - contents]]_ (all I wanted to originally was to create an elementary entry _[[linear equation]]_...)

   and now I even ended up creating a new floating table of contents: equality and equivalence - contents

   (all I wanted to originally was to create an elementary entry linear equation…)

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 18th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added to _[[equality and equivalence - contents]]_ all the qualifiers of "equality" that I think we have: > [[definitional equality|definitional]], [[propositional equality|propositional]], [[computational equality|computational]], [[judgemental equality|judgemental]], [[extensional equality|extensional]], [[intensional equality|intensional]], [[decidable equality|decidable]] Many of these currently just redirect to _[[equality]]_ itself. But that could change. I created a stub for _[[judgmental equality]]_ since it was requested by other entries. Mainly this stub currently points to an article by Robin Adams, which I gather is regarded as important. Then I also added the list with all of the notions of equivalences of categories that I know we have, I might be missing some, though: > [[equivalence of categories]], [[adjoint equivalence]], [[weak equivalence of internal categories]], [[Morita equivalence]], [[equivalence of 2-categories]], [[equivalence of (∞,1)-categories]] There might be more to be added. (And of course I have added this as a floating TOC to all the relevant entries.)

   I have added to equality and equivalence - contents all the qualifiers of “equality” that I think we have:

   definitional, propositional, computational, judgemental, extensional, intensional, decidable

   Many of these currently just redirect to equality itself. But that could change.

   I created a stub for judgmental equality since it was requested by other entries. Mainly this stub currently points to an article by Robin Adams, which I gather is regarded as important.

   Then I also added the list with all of the notions of equivalences of categories that I know we have, I might be missing some, though:

   equivalence of categories, adjoint equivalence, weak equivalence of internal categories, Morita equivalence, equivalence of 2-categories, equivalence of (∞,1)-categories

   There might be more to be added.

   (And of course I have added this as a floating TOC to all the relevant entries.)