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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 17th 2010
    • (edited Jun 17th 2010)

    I am trying to remove the erroneous shifts in degree by ±1\pm 1 that inevitably I have been making at simplicial skeleton and maybe at truncated.

    So a Kan complex is the nerve of an nn-groupoid iff it is (n+1)(n+1)-coskeletal, I hope ;-)

    At truncated in the examples-section i want to be claiming that the truncation adjunction in a general (oo,1)-topos is in the case of \inftyGrpd the (tr n+1cosk n+1)(tr_{n+1} \dashv cosk_{n+1})-adjunction on Kan complexes. But I should be saying this better.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 17th 2010

    I typed out now what I think is a complete proof, see Truncation in ooGrpd.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 17th 2010

    added some propositions and proofs on properties of truncation to Truncation - Properties - General

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 18th 2010

    added more details on the proof of the recursive definition of k-truncated morphisms here.