Multivariable manifold calculus of functors

Details Multivariable manifold calculus of functors Multivariable manifold calculus of functors

2009-04-27

arxiv.org/abs/0904.4185v2

Mathematics

Algebraic Topology

37 pages

Scientific paper

Manifold calculus of functors, due to M. Weiss, studies contravariant functors from the poset of open subsets of a smooth manifold to topological spaces. We introduce "multivariable" manifold calculus of functors which is a generalization of this theory to functors whose domain is a product of categories of open sets. We construct multivariable Taylor approximations to such functors, classify multivariable homogeneous functors, apply this classification to compute the derivatives of a functor, and show what this gives for the space of link maps. We also relate Taylor approximations in single variable calculus to our multivariable ones.

Affiliated with

Also associated with

No associations

Rating

Multivariable manifold calculus of functors 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 Multivariable manifold calculus of functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multivariable manifold calculus of functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323026