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Mathematics - Geometry & Topology | Topology of Singular Fibers of Differentiable Maps

Topology of Singular Fibers of Differentiable Maps

Series: Lecture Notes in Mathematics, Vol. 1854

Saeki, Osamu

2004, X, 154 p.

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The volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications.

This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.

Content Level » Research

Keywords » Euler characteristics - cobordism of singular maps - manifold - singular fiber - staple map - universal complex

Related subjects » Geometry & Topology

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