arXiv:math/0512479 Abstract

arXiv:math/0512479 [math.AT]Abstract References Reviews Resources

Homotopical Intersection Theory, I

Published 2005-12-21Version 1

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.

Categories: math.AT, math.GT

Subjects: 57R19, 55N45

Keywords: homotopical intersection theory, compact manifolds, homotopy group, thom space, disjunction problems

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