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Differential Topology Lecture Notes 2

By Wolf Michael M.

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Book Id: WPLBN0003762073
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Differential Topology Lecture Notes 2  
Author: Wolf Michael M.
Language: English
Subject: Programming, Mathematics, Topology
Collection: Technical eBooks and Manuals Collection
Subcollection: Technical Books Center Collection
Publication Date:
Publisher: Technical Books Center

Description: We will follow a direct approach to differential topology and to many of its applications without requiring and exploiting the abstract machinery of algebraic topology. The course will cover immersion, submersions and embeddings of manifolds in Euclidean space (including the basic results by Sard and Whitney), a discussion of the Euler number and winding numbers, fixed point theorems, the Borsuk-Ulam theorem and respective applications. At the end of the course, students should be able to analyse topological problems from a differentiable viewpoint and to see differential problems from a topological perspective


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