Topology of Singular Fibers of Differentiable Maps
Edition: 1 edition
Publisher: Springer
Published: December 14, 2004
Language: eng
Format: Paperback
Number of pages: 145
ISBN-13: 9783540230212
Subjects: Analytic topology; Science/Mathematics; General; Mathematics; Computers - General Information; Singularities (Mathematics); Computer Science; Geometry - General; Topology - General; Euler characteristics; Mathematics / Topology; cobordism of singular maps; singular fiber; staple map; universal complex; Differential mappings; Topological manifolds
Description: 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.
Notes: Lecture Notes in Mathematics