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Bivariant Theories for Smooth Manifolds

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Abstract

On the category of smooth manifolds we consider bivariant theories in the sense of Fulton and MacPherson, and give a geometric description of the bivariant topological theory. We show that the bivariant cobordism has a universal property. We also sketch a future application to the space of smooth maps between manifolds.

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  1. Institut de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, CH-2007, Neuchâtel, Switzerland

    Martin Jakob

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  1. Martin Jakob
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Jakob, M. Bivariant Theories for Smooth Manifolds. Applied Categorical Structures 10, 279–290 (2002). https://doi.org/10.1023/A:1015225622516

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