Topology of Singular Fibers of Differentiable Maps

Osamu Saeki (auth.)9783540230212, 3-540-23021-1

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.

Table of contents :
Introduction….Pages 1-5
Part I: Classification of Singular Fibers….Pages 7-57
Part II: Universal Complex of Singular Fibers….Pages 59-120
Part III: Epilogue….Pages 121-129
References….Pages 131-134
List of Symbols and Index….Pages 135-145