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    • CommentRowNumber1.
    • CommentAuthorMirco Richter
    • CommentTimeJan 31st 2012

    Suppose we have the sequence of sets , 2, 3, … Is there a Kan simplicial structure on this sequence of sets, that is not n-coskeletal for some n?

    To be more precise, is there a simplicial set (functor) R with R([n])=n+1 that is not n-coskeletal for some n?

    And very closely related: is there a simplicial set (functor) R with R([n])=n (with R([0]))={0}), that is not n-coskeletal for some n ?

    • CommentRowNumber2.
    • CommentAuthorMirco Richter
    • CommentTimeJan 31st 2012

    Or is there a theorem that rules it out?

    What about general “existance theorems” for Kan simplicial structures?