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nLab > Latest Changes: nerve and realization

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  1. I inserted two links in nerve and realization: simplicial topological space (redirecting cosimplicial topological space) and geometric realization of simplicial topological spaces. I would like to add some remarks to the internal case.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2012
    • (edited Jan 8th 2012)

    Thanks, that’s good. I have now added a few more pointers in that section, such as one to homotopy hypothesis.

    • CommentRowNumber3.
    • CommentAuthorSam Staton
    • CommentTimeMar 20th 2023

    Was previously, “Under some conditions one can characterize when and where the nerve construction is a full and faithful functor. For the moment see for instance monad with arities.” But surely this is just density. Not sure what was meant by this.

    diff, v29, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 21st 2023
    • (edited Mar 21st 2023)

    I think what was meant was that monad with arities is one place where the nerve construction for dense subcategory inclusions is discussed (right in the Idea section there).

    Therefore, unless I am missing something, it seems fine to keep a pointer to that entry. I have added a “See also…”-clause here.

    diff, v30, current

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