The Structural Nature of the Nerve Functor for n-Groupoids |
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| Authors: | Dominique Bourn |
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| Affiliation: | (1) LANGAL – Université du Littoral –, 1, Quai Freycinet, BP 5526, F-59379 Dunkerque Cedex, France |
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| Abstract: | Given a left exact category B, the construction of the nerve functor  n for n-groupoids in B is related to a certain property of the category S-S i m p ln – 1B of the split (n – 1)-truncated simplicial objects in B, which allows us to define the split n-truncated simplicial objects in B completely internally to S-S i m p ln – 1B and thus to construct intrisincally from it the category S-S i m p lnB. |
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| Keywords: | simplicial object nerve n-groupoid fibration |
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