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Stratified Morse Theory

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Cover of 'Stratified Morse Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Stratified Morse Theory
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    Chapter 2 The Topology of Complex Analytic Varieties and the Lefschetz Hyperplane Theorem
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    Chapter 3 Whitney Stratifications and Subanalytic Sets
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    Chapter 4 Morse Functions and Nondepraved Critical Points
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    Chapter 5 Dramatis Personae and the Main Theorem
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    Chapter 6 Moving the Wall
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    Chapter 7 Fringed Sets
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    Chapter 8 Absence of Characteristic Covectors: Lemmas for Moving the Wall
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    Chapter 9 Local, Normal, and Tangential Morse Data are Well Defined
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    Chapter 10 Proof of the Main Theorem
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    Chapter 11 Relative Morse Theory
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    Chapter 12 Nonproper Morse Functions
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    Chapter 13 Relative Morse Theory of Nonproper Functions
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    Chapter 14 Normal Morse Data of Two Morse Functions
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    Chapter 15 Introduction
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    Chapter 16 Statement of Results
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    Chapter 17 Normal Morse Data for Complex Analytic Varieties
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    Chapter 18 Homotopy Type of the Morse Data
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    Chapter 19 Morse Theory of the Complex Link
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    Chapter 20 Proof of the Main Theorems
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    Chapter 21 Morse Theory and Intersection Homology
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    Chapter 22 Connectivity Theorems for q -Defective Pairs
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    Chapter 23 Counterexamples
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    Chapter 24 Introduction
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    Chapter 25 Statement of Results
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    Chapter 26 Geometry of the Order Complex
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    Chapter 27 Morse Theory of ℝ n
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    Chapter 28 Proofs of Theorems B, C, and D
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    Chapter 29 Examples
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46 Mendeley
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Title
Stratified Morse Theory
Published by
Springer Berlin Heidelberg, December 2012
DOI 10.1007/978-3-642-71714-7
ISBNs
978-3-64-271716-1, 978-3-64-271714-7
Authors

Goresky, Mark, MacPherson, Robert

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 46 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 2%
Germany 1 2%
Italy 1 2%
Unknown 43 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 9%
Student > Master 3 7%
Professor > Associate Professor 2 4%
Researcher 1 2%
Other 1 2%
Other 0 0%
Unknown 35 76%
Readers by discipline Count As %
Mathematics 5 11%
Physics and Astronomy 3 7%
Computer Science 1 2%
Engineering 1 2%
Unknown 36 78%