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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 8th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexmoving this old query box out of the entry *** +-- {.query} [[Tim Porter|Tim]] Is the first statement above correct? $Cat^n$-groups are examples of strict (n+1)-fold categories, not strict n=categories or am I missing something? (28-09-2010&lt;- corrected) [[Ronnie Brown|Ronnie]] Agreed, and I have corrected that. This is important since an [[n-category]] internal to [[Grp]] is equivalent to a single vertex [[crossed complex]] of length $n+1$. It is not so clear how to construct a homotopical functor from $n$-cubes of _non pointed spaces_, and what should be the receiving category. =-- *** <a href="https://ncatlab.org/nlab/revision/diff/cat-n-group/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/cat-n-group/25">v25</a>, <a href="https://ncatlab.org/nlab/show/cat-n-group">current</a>

   moving this old query box out of the entry

   ---

   +– {.query} Tim Is the first statement above correct? $Cat^n$-groups are examples of strict (n+1)-fold categories, not strict n=categories or am I missing something? (28-09-2010<- corrected)

   Ronnie Agreed, and I have corrected that. This is important since an n-category internal to Grp is equivalent to a single vertex crossed complex of length $n+1$.

   It is not so clear how to construct a homotopical functor from $n$-cubes of non pointed spaces, and what should be the receiving category. =–

   ---

   diff, v25, current

2. • CommentRowNumber2.
   • CommentAuthorTim_Porter
   • CommentTimeJan 8th 2024
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexGood. I forgot it was there.

   Good. I forgot it was there.