If M C R n is an orientable (n - 1)-dimensional manifold, show that there is an

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If M C R n is an orientable (n - 1)-dimensional manifold, show that there is an open set A C Rn and a differentiable g: A→ R1 so that M = g-1 (0) and g1 (x) has rank 1 for x ЄM.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Jan 12, 2010 12:41 AM

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If M C R n is an orientable (n - 1)-dimensional manifold, show that there is an

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Choose an orientation for As the hint says Problem 54 ...View the full answer

Introduction to Real Analysis

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