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Free Differential Topology Books

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This section contains free e-books and guides on Differential Topology, some of the resources in this section can be viewed online and some of them can be downloaded.

Differential Topology Books
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Differential Topology by Bjorn Ian Dundas

PDF | 210 Pages | English
This note covers the following topics: Smooth manifolds, The tangent space, Regular values, Vector bundles, Constructions on vector bundles and Integrability.

 
Introduction To Differential Topology

PDF | 207 Pages | English
The first half of the book deals with degree theory, the Pontryagin construction, intersection theory, and Lefschetz numbers. The second half of the book is devoted to differential forms and deRham cohomology.

 
Differential topology Lecture notes (PDF 20p)

PDF | 20 Pages | English
This note covers the following topics: Smooth manifolds and smooth maps, Tangent spaces and differentials , Regular and singular values , Manifolds with boundary, Immersions and embeddings , Degree mod 2 , Orientation of manifolds and Applications of degree.

 
Combinatorial Differential Topology and Geometry (PDF 30p)

PDF | 30 Pages | English
This note explains how two standard techniques from the study of smooth manifolds, Morse theory and Bochnerís method, can be adapted to aid in the investigation of combinatorial spaces.

 
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