We look at different sorts of submanifolds and prove the Implicit Function Theorem for manifolds. We go on to prove Sard’s Theorem and the Constant Rank Theorem.

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Submanifolds

  • Will J. Merry

摘要

We look at different sorts of submanifolds and prove the Implicit Function Theorem for manifolds. We go on to prove Sard’s Theorem and the Constant Rank Theorem.