AMOR
发表于 2025-3-28 17:35:50
Nonproper Morse Functions as a dense open subset. For example, . may be a compactification of some noncompact algebraic variety . ⊂ ., and . may be a smooth function defined on the ambient .. We shall assume that it is possible to find a stratification of . so that . ⊂ . is a union of strata. Thus, . is obtained from . by r
Encumber
发表于 2025-3-28 21:33:13
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START
发表于 2025-3-29 00:21:27
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Salivary-Gland
发表于 2025-3-29 04:55:04
Relative Morse TheoryMorse function seem to end in failure because one loses curvature estimates on the Morse index of .. Instead, we are forced to “relativize” the Morse theory of .. Our main result is stated in Sect. 9.8.
RODE
发表于 2025-3-29 11:07:34
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DOSE
发表于 2025-3-29 14:27:19
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INTER
发表于 2025-3-29 19:07:24
The Topology of Complex Analytic Varieties and the Lefschetz Hyperplane Theoremf a Stein manifold is bounded by its complex dimension. In this section of the introduction, we give a sketch of the statements of the theorems with motivation and some history. Technically precise statements of the theorems in their most general form are grouped together in Chapter 1 of Part II of the book.
开头
发表于 2025-3-29 21:51:47
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conformity
发表于 2025-3-30 02:38:21
Fringed Setsuadrant in ℝ. whose closure contains a segment of the .-axis ending at the origin, and which are unions of vertical segments. Fringed sets of this type will appear throughout the technical discussions in Part I.
Coterminous
发表于 2025-3-30 06:19:26
Introductione stratum . of complex codimension . in .. Let λ denote the Morse index of . | . at the point ., and let .=. (.) be the associated critical value. We will consider the Morse theory of . | ., where . = . − .. Suppose the interval [., .] contains no critical values of . . other than ., and that .∈(., .).