去是公开 发表于 2025-3-21 19:15:59
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0172-5939and with the differential and integral calculus on smooth manifolds...Liviu Nicolaescu is Associate Professor of Mathematics at University of Notre Dame..978-0-387-49510-1Series ISSN 0172-5939 Series E-ISSN 2191-6675使尴尬 发表于 2025-3-22 05:38:04
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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.Exclude 发表于 2025-3-23 08:43:57
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