Whitney categories and the Tangle Hypothesis

Details Whitney categories and the Tangle Hypothesis Whitney categories and the Tangle Hypothesis

2011-08-18

arxiv.org/abs/1108.3724v1

Mathematics

Category Theory

19 pages, 1 figure

Scientific paper

We propose a new notion of `n-category with duals', which we call a Whitney n-category. There are two motivations. The first is that Baez and Dolan's Tangle Hypothesis is (almost) tautological when interpreted as a statement about Whitney categories. The second is that we can functorially construct `fundamental Whitney n-categories' from each smooth stratified space X. These are obtained by considering the homotopy theory of smooth maps into X which are transversal to all strata. This makes concrete another idea of Baez and Dolan's which is that a suitable version of homotopy theory for stratified spaces should allow one to generalise the relationship between spaces and groupoids to one between stratified spaces and categories with duals.

Affiliated with

Also associated with

No associations

Rating

Whitney categories and the Tangle Hypothesis 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 Whitney categories and the Tangle Hypothesis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Whitney categories and the Tangle Hypothesis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-181277