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MATH-M 529: INTRODUCTION TO DIFFERENTIAL TOPOLOGY (3 credits)
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MATH-M 529: INTRODUCTION TO DIFFERENTIAL TOPOLOGY
Offered at
IU Bloomington
by
College of Arts and Sciences
.
About
Derivatives and tangents; Inverse Function Theorem; immersions and submersions; Sard's Theorem. Manifolds; imbedding manifolds. Applications: intersections and degrees (mod 2); Brouwer Fixed Point Theorem. Orientation of manifolds; Euler characteristic; Hopf Degree Theorem.
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