Homotopical Intersection Theory, I

Details Homotopical Intersection Theory, I Homotopical Intersection Theory, I

2005-12-21

arxiv.org/abs/math/0512479v1

Mathematics

Algebraic Topology

Scientific paper

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.

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