Geodesic
Lax limits of model categories
Theory and applications of categories, Tome 35 (2020), pp. 959-978 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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For a diagram of simplicial combinatorial model categories, we show that the associated lax limit, endowed with the projective model structure, is a presentation of the lax limit of the underlying ∞-categories. Our approach can also allow for the indexing category to be simplicial, as long as the diagram factors through its homotopy category. Analogous results for the associated homotopy limit (and other intermediate limits) directly follow.

Publié le :
Classification : 18G55, 55U35
Keywords: Lax limit, model categories, strictification 
@article{TAC_2020_35_a24,
     author = {Yonatan Harpaz},
     title = {Lax limits of model categories},
     journal = {Theory and applications of categories},
     pages = {959--978},
     year = {2020},
     volume = {35},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a24/}
}
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Yonatan Harpaz. Lax limits of model categories. Theory and applications of categories, Tome 35 (2020), pp. 959-978. http://geodesic.mathdoc.fr/item/TAC_2020_35_a24/