Sard’s Theorem and Transversality
In many problems of calculus on manifolds and in differential topology, it is crucial to have some knowledge about the distribution of regular values of a C r function f: M → N, with M and N manifolds. For example, the construction of degree (Chapter 7) is based on the fact that the set of regular values of f is dense in N.
KeywordsGeneral Equilibrium Open Covering Measure Zero Full Measure Countable Family
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