#
Homotopy theory with *-categories

##
Ulrich Bunke

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.

Keywords:
*-categories, model categories, $\infty$-categories, limits and
colimits

2010 MSC:
18C35,55U35

*Theory and Applications of Categories,*
Vol. 34, 2019,
No. 27, pp 781-853.

Published 2019-09-16.

http://www.tac.mta.ca/tac/volumes/34/27/34-27.pdf

TAC Home