Suppose M and N are C manifolds, U an open set of M, and F: U Nis C Show that there exists a neighborhood V of any p e U,V CU. suchthat F can be extended to a C mapping F*: M N with F(q) = F*(q)for all q e V.%3D

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Answered: Suppose M and N are C manifolds, U an…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Suppose M and N are C manifolds, U an is C. Show that there exists a neighborhoo that F can be extended to a C mapping F for all q e V.