The structural nature of the nerve functor for \(n\)-groupoids (Q1840721)
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scientific article; zbMATH DE number 1563338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structural nature of the nerve functor for \(n\)-groupoids |
scientific article; zbMATH DE number 1563338 |
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The structural nature of the nerve functor for \(n\)-groupoids (English)
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27 December 2001
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The author gives an internal construction of split \((n+1)\)-truncated simplicial objects within the category of split \(n\)-truncated simplicial objects, all in a fixed left exact category \({\mathcal B}\). This identification is used to give an inductive construction of the nerve of an \(n\)-groupoid. The exposition contains a substantial amount of detail.
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nerves
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\(n\)-groupoids
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split simplicial objects
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0.8731186
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0.8702129
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0.86593163
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0.86324567
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0.8621676
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