Klein, John R.; Williams, E. Bruce Homotopical intersection theory. I. (English) Zbl 1132.57024 Geom. Topol. 11, 939-977 (2007). An intersection theory on manifolds is developed using the techniques of algebraic topology. The “cycles” are maps between manifolds and “intersections” are elements of a homotopy group of a certain Thom space. The results are then applied to fixed points, linking and disjunction problems. Reviewer: Gheorghe Pitiş (Braşov) Cited in 5 ReviewsCited in 14 Documents MSC: 57R19 Algebraic topology on manifolds and differential topology 55N45 Products and intersections in homology and cohomology Keywords:manifold; fibration; homotopy group; Thom space; intersection theory PDFBibTeX XMLCite \textit{J. R. Klein} and \textit{E. B. Williams}, Geom. 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