(2,1)-quasitopos?
structures in a cohesive (∞,1)-topos
A morphism $f : X \to Y$ of stacks over a site $C$ is called representable if for all representable objects $U \in C \stackrel{Y}{\hookrightarrow} Stacks(C)$ and all morphisms $U \to Y$ the homotopy pullback $X \times_Y U$ in
is again representable.
Along representable morphisms $f$ of stacks over smooth manifolds (smooth infinity-groupoids) is induced a push-forward in generalized cohomology operation.
The general definition appears for instance as def. 38.5 in
(there with stacks perceived equivalently and dually under the Grothendieck construction as fibered categories).
Applications of push-forward in generalized cohomology along representable morphisms appear for instance in
Last revised on November 7, 2012 at 21:53:48. See the history of this page for a list of all contributions to it.