Geodesic
Homotopy theory with *-categories
Theory and applications of categories, Tome 34 (2019), pp. 781-853

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the $\infty$-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.

Publié le :
Classification : 18C35, 55U35
Keywords: *-categories, model categories, $\infty$-categories, limits and colimits 
@article{TAC_2019_34_a26,
     author = {Ulrich Bunke},
     title = {Homotopy theory with *-categories},
     journal = {Theory and applications of categories},
     pages = {781--853},
     publisher = {mathdoc},
     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a26/}
}
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Ulrich Bunke. Homotopy theory with *-categories. Theory and applications of categories, Tome 34 (2019), pp. 781-853. http://geodesic.mathdoc.fr/item/TAC_2019_34_a26/