The topological realization of a simplicial presheaf

Details The topological realization of a simplicial presheaf The topological realization of a simplicial presheaf

1996-09-03

arxiv.org/abs/q-alg/9609004v1

Mathematics

Quantum Algebra

Latex

Scientific paper

The purpose of this article is to define the topological realization of a simplicial presheaf and to prove (under appropriate conditions) that it is homotopy-invariant under Illusie weak equivalence. In particular this applies to the site of schemes over $Spec (\cc)$ with the etale or Zariski topologies. As an application we show how to calculate the topological realization of a Deligne-Mumford stack. At the end we speculate on how to extend this to the case of $n$-topoi.

Affiliated with

Also associated with

No associations

Rating

The topological realization of a simplicial presheaf does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The topological realization of a simplicial presheaf, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The topological realization of a simplicial presheaf will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43558