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.Errata Minor errors were corrected on page 967 (18 February 2008).
Citation
John R Klein. E Bruce Williams. "Homotopical intersection theory I." Geom. Topol. 11 (2) 939 - 977, 2007. https://doi.org/10.2140/gt.2007.11.939
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