和谐 发表于 2025-3-30 08:56:54
https://doi.org/10.1007/978-3-662-37019-3f each point in the domain is an immersion (submersion, diffeomorphism) point. A subset of a . manifold is a . submanifold if it is itself a . manifold. The regular value function asserts that if each point in the preimage of a point in the range is a submersion point, then the preimage of the pointhegemony 发表于 2025-3-30 14:21:58
,Festigkeit und Elastizität von Beton,tion preserving (reversing) at a point if the derivative at the point maps positively oriented ordered bases to positively (negatively) oriented ordered bases. If the domain is compact, the degree over a regular value is the number of preimages at which the map is orientation preserving minus the nuInitial 发表于 2025-3-30 19:48:16
,Festigkeit und Elastizität von Beton,of fixed points, and adopting this perspective is simplifying in several ways. Normalization, Additivity, Continuity, and Commutativity characterize a unique index assigning an integer to each index admissible upper hemicontinuous contractible valued correspondence from a compact subset of a locallyProcesses 发表于 2025-3-30 20:54:03
https://doi.org/10.1007/978-3-662-37019-3e degree of an antipodal map from a sphere to itself is odd. This result implies the Borsuk–Ulam theorem and invariance of domain, which asserts that if a function from an open subset of . to . is continuous and injective, then it is an embedding and its image is open. For an upper hemicontinuous co中和 发表于 2025-3-31 02:57:14
http://reply.papertrans.cn/15/1456/145585/145585_55.png相一致 发表于 2025-3-31 07:45:09
http://reply.papertrans.cn/15/1456/145585/145585_56.png