Abstract
Given a left exact category B, the construction of the nerve functor v n for n-groupoids in B is related to a certain property of the category S-Simpi n−1 B 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-Simpi n−1 B and thus to construct intrisincally from it the category S-Simpl n B.
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© 2000 Springer Science+Business Media Dordrecht
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Bourn, D. (2000). The Structural Nature of the Nerve Functor for n-Groupoids. In: Brümmer, G., Gilmour, C. (eds) Papers in Honour of Bernhard Banaschewski. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2529-3_6
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DOI: https://doi.org/10.1007/978-94-017-2529-3_6
Publisher Name: Springer, Dordrecht
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