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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 17th 2012

    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…)

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 18th 2012

    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.)