[PDF.58in] Differential Algebraic Topology: From Stratifolds to Exotic Spheres (Graduate Studies in Mathematics, Vol. 110)
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Differential Algebraic Topology: From Stratifolds to Exotic Spheres (Graduate Studies in Mathematics, Vol. 110)
Matthias Kreck
[PDF.uu99] Differential Algebraic Topology: From Stratifolds to Exotic Spheres (Graduate Studies in Mathematics, Vol. 110)
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| #972576 in Books | American Mathematical Society | 2010-05-04 | Original language:English | 10.50 x7.50 x.75l,1.25 | File type: PDF | 218 pages | |||"Differential Algebraic Topology: From Stratifolds to Exotic Spheres is a good book. It is clearly written, has many good examples and illustrations, and, as befits a graduate-level text, exercises. It is a wonderful addition to the literature." ---- MAA s
This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author introduces a new class of stratified spaces, so-called stratifolds. He derives basic concepts from differential topology such as Sard's theorem, partitions of unity and transversality. Based on this, homology groups are constructed in the framework of stratifolds and the homology axioms are proved. This implies that for nice spaces these ho...
You can specify the type of files you want, for your device.Differential Algebraic Topology: From Stratifolds to Exotic Spheres (Graduate Studies in Mathematics, Vol. 110) | Matthias Kreck. A good, fresh read, highly recommended.