Stock image for illustration purposes only - book cover, edition or condition may vary.
Differential Algebraic Topology
Matthias Kreck
€ 112.92
FREE Delivery in Ireland
Description for Differential Algebraic Topology
Hardcover. Offers a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. This title introduces a class of stratified spaces, so-called stratifolds. It derives basic concepts from differential topology such as Sard's theorem, partitions of unity and transversality. Series: Graduate Studies in Mathematics. Num Pages: 215 pages, Illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 261 x 185 x 17. Weight in Grams: 574.
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 homology groups agree with ordinary singular homology. Besides the standard computations of homology groups using the axioms, straightforward constructions of important homology classes are given. The author also defines stratifold ... Read more
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 homology groups agree with ordinary singular homology. Besides the standard computations of homology groups using the axioms, straightforward constructions of important homology classes are given. The author also defines stratifold ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
American Mathematical Society United States
Number of pages
215
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
218
Place of Publication
Providence, United States
ISBN
9780821848982
SKU
V9780821848982
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Matthias Kreck
Matthias Kreck, Hausdorff Research Institute for Mathematics, Bonn, Germany
Reviews for Differential Algebraic Topology
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 Reviews "This book is a very nice addition to the existing books on algebraic topology. A careful effort has been ... Read more