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On the manifold structure of the set of unparameterized embeddings with low regularity

✍ Scribed by Luis J. Alías; Paolo Piccione


Publisher
Springer
Year
2011
Tongue
English
Weight
144 KB
Volume
42
Category
Article
ISSN
1678-7714

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In this paper we establish the topological regularity of the solution set of differential inclusions with constraints, defined in \(\mathbb{R}^{n}\). The result is then extended to systems defined in Banach spaces. Our proof makes use of an approximation result by Lipschitz functions of Caratheodory