Ebook: Stratified Morse Theory
- Tags: Algebraic Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Global Analysis and Analysis on Manifolds
- Series: Ergebnisse der Mathematik und ihrer Grenzgebiete 14
- Year: 1988
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area.
Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area.
Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area.
Content:
Front Matter....Pages 145-145
Morse Theory and Intersection Homology....Pages 208-224
Connectivity Theorems for q-Defective Pairs....Pages 225-229
Counterexamples....Pages 230-231
Front Matter....Pages 233-233
Introduction....Pages 235-236
Statement of Results....Pages 237-240
Geometry of the Order Complex....Pages 241-244
Proofs of Theorems B, C, and D....Pages 245-250
Examples....Pages 251-255
Back Matter....Pages 256-257
....Pages 258-274
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