FLACK
发表于 2025-3-23 10:05:41
http://reply.papertrans.cn/16/1557/155644/155644_11.png
知道
发表于 2025-3-23 17:16:29
http://reply.papertrans.cn/16/1557/155644/155644_12.png
想象
发表于 2025-3-23 19:39:28
The Topology of Morse Functions,parameter . varies in an interval containing only regular values of a smooth function .: . → ℝ, then the topology of the sublevel set . ≤ . is independent of .. We can turn this on its head and state that a change in the topology of . ≤ . is an indicator of the presence of a critical point.
胶水
发表于 2025-3-23 23:41:00
http://reply.papertrans.cn/16/1557/155644/155644_14.png
Commonwealth
发表于 2025-3-24 06:09:11
https://doi.org/10.1007/978-3-476-04207-1parameter . varies in an interval containing only regular values of a smooth function .: . → ℝ, then the topology of the sublevel set . ≤ . is independent of .. We can turn this on its head and state that a change in the topology of . ≤ . is an indicator of the presence of a critical point.
无能的人
发表于 2025-3-24 07:36:11
Die internen Gesetze im VertriebIn this first chapter we introduce the reader to the main characters of our story, namely the Morse functions, and we describe the properties which make them so useful. We describe their very special local structure (Morse lemma) and then we show that there are plenty of them around.
Coordinate
发表于 2025-3-24 11:38:40
http://reply.papertrans.cn/16/1557/155644/155644_17.png
惰性女人
发表于 2025-3-24 18:45:10
http://reply.papertrans.cn/16/1557/155644/155644_18.png
OTTER
发表于 2025-3-24 20:00:45
Basics of Complex Morse Theory,In this final chapter we would like to introduce the reader to the complex version of Morse theory that has proved to be very useful in the study of the topology of complex projective varieties, and more recently in the study of the topology of symplectic manifolds.
textile
发表于 2025-3-25 03:09:04
http://reply.papertrans.cn/16/1557/155644/155644_20.png