* Preprint: An introduction to multiple categories
@ 2015-01-28 18:59 Marco Grandis
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From: Marco Grandis @ 2015-01-28 18:59 UTC (permalink / raw)
To: categories
The following preprint is available:
M. Grandis - R. Paré
An introduction to multiple categories (On weak and lax multiple categories, I)
Pubbl. Mat. Univ. Genova, Preprint 604 (2015).
http://www.dima.unige.it/~grandis/Mlc1.pdf
Abstract. Extending double and triple categories, we introduce here infinite dimensional weak multiple categories. We also consider a partially lax, 'chiral'
form with directed interchanges and a laxer form already studied in two previous papers for the 3-dimensional case, under the name of intercategory.
In these settings we also begin a study of tabulators, the basic higher limits, that will be concluded in a sequel.
The two previous papers mentioned above can be found at arXiv:
- M. Grandis - R. Paré, Intercategories I: The basic theory. http://arxiv.org/abs/1412.0144
- M. Grandis - R. Paré, Intercategories II: Examples. http://arxiv.org/abs/1412.0212
Marco Grandis and Bob Paré
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