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

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Statement of ResultsThe proofs of the results stated here will appear in Sect. 5. The four main theorems (Sects. 1.1, 1.1*, 1.2, 1.2*) are followed by four analogous “local” theorems (1.3.1, 1.3.2, 1.3*.1, 1.3*.2) which may be considered as generalizations of the global theorems. These results are further generalized in Sects. 7.2 and 7.3.
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Whitney Stratifications and Subanalytic Sets0.5, 11.5, 12.5). Sections 1.2 through 1.8 constitute a short course on the main results and techniques of stratification theory, and they summarize the work of many people: [Ab], [AR], [BW], [Ch], [G1], [Ha1], [Ha2], [Hi1], [Hi2], [Hi3], [J], [La], [LT2], [Lo1], [Lo2], [Ma1], [Ma2], [O], [P1], [P2]
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Moving the Wallifying the hypotheses and expressing the conclusions of Thom’s first isotopy lemma, which is particularly useful when the isotopy lemma is applied to a complicated geometric situation. The power of this method even in the nonsingular case is illustrated in Sect. 4.5, where we reprove the classical r
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Absence of Characteristic Covectors: Lemmas for Moving the Wallments which are needed in the proof of these theorems, it is necessary to know that there are no characteristic covectors which might impede the motion of the wall, i.e., that the wall is transverse to the strata of .. In this chapter we prove that there are no such characteristic covectors.
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