Topology of singular fibers of differentiable maps 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&nbsp;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. TOC:Part I. Classification of Singular Fibers: Preliminaries. Singular Fibers of Morse Functions on Surfaces. Classification of Singular Fibers. Co existence of Singular Fibers. Euler Characteristic of the Source 4 Manifold. Examples of Stable Maps of 4 Manifolds. Part II. Universal Complex of Singular Fibers: Generalities. Universal Complex of Singular Fibers. Stable Maps of 4 Manifolds into 3 Manifolds. Co orientable Singular Fibers. Homomorphism Induced by a Thom Map. Cobordism Invariance. Cobordism of Maps with Prescribed Local Singularities. Examples of Cobordism Invariants. Part III. Epilogue: Applications. Further Developments. References. List of Symbols. Index