Homotopical Intersection Theory, I
Algebraic Topology
2014-11-11 v1 Geometric Topology
Abstract
We give a new approach to intersection theory. Our "cycles" are closed manifolds mapping into compact manifolds and our "intersections" are elements of a homotopy group of a certain Thom space. The results are then applied in various contexts, including fixed point, linking and disjunction problems. Our main theorems resemble those of Hatcher and Quinn, but our proofs are fundamentally different.
Cite
@article{arxiv.math/0512479,
title = {Homotopical Intersection Theory, I},
author = {John R. Klein and E. Bruce Williams},
journal= {arXiv preprint arXiv:math/0512479},
year = {2014}
}