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A Full and Faithful Nerve for 2-Categories

โœ Scribed by M. Bullejos; E. Faro; V. Blanco


Publisher
Springer
Year
2005
Tongue
English
Weight
207 KB
Volume
13
Category
Article
ISSN
0927-2852

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๐Ÿ“œ SIMILAR VOLUMES


A Cellular Nerve for Higher Categories
โœ Clemens Berger ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 481 KB

We realise Joyal's cell category Y as a dense subcategory of the category of ocategories. The associated cellular nerve of an o-category extends the well-known simplicial nerve of a small category. Cellular sets (like simplicial sets) carry a closed model structure in Quillen's sense with weak equiv