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Homotopical intersection theory. I - MaRDI portal

Homotopical intersection theory. I (Q2464815)

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Homotopical intersection theory. I
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    Homotopical intersection theory. I (English)
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    17 December 2007
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    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.
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    manifold
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    fibration
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    homotopy group
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    Thom space
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    intersection theory
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