Titlebook: Stratified Morse Theory; Mark Goresky,Robert MacPherson Book 1988 Springer-Verlag Berlin Heidelberg 1988 Area.Dimension.Homotopy.Levi form

DEFER

初学者

Stratified Morse Theory978-3-642-71714-7Series ISSN 0071-1136 Series E-ISSN 2197-5655

为宠爱

Bother

https://doi.org/10.1007/978-3-642-71714-7Area; Dimension; Homotopy; Levi form; Submersion; boundary element method; character; function; geometry; hom

deadlock

hematuria

Stratified Morse TheorySuppose that . is a topological space, . is a real valued function on ., and . is a real number. Then we will denote by . . the subspace of points . in . such that .(.)≤.. The fundamental problem of Morse theory is to study the topological changes in the space . . as the number . varies.

Aromatic

腐烂

Local, Normal, and Tangential Morse Data are Well DefinedThis chapter contains the proofs of Theorems 3.5.3, 3.6.2, 3.9.2, 3.9.3, 3.10, and 3.11.

远地点

Proof of the Main TheoremIn this chapter we prove Theorem 3.7: the local Morse data is the Cartesian product of the tangential Morse data with the normal Morse data.

BRINK

Relative Morse Theory of Nonproper FunctionsThis section is the common generalization of Chapters 9 and 10.