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Topology of Singular Fibers of Differentiable Maps
Author(s) -
Osamu Saeki
Publication year - 2004
Publication title -
lecture notes in mathematics
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.545
H-Index - 61
eISSN - 1617-9692
pISSN - 0075-8434
DOI - 10.1007/b100393
Subject(s) - mathematics , differentiable function , topology (electrical circuits) , pure mathematics , mathematical analysis , combinatorics
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

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