Algebraic and differential topology /
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topologoical invariance of a Betti group. The book next presents various applications of homol...
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| Format: | eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
Routledge,
2022.
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| Edition: | First edition. |
| Series: | Pontri͡agin, L. S. (Lev Semenovich), 1908-1988. Works. 1986 ;
v. 3. Classics of Soviet mathematics ; v. 1. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topologoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field. |
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| Physical Description: | 1 online resource (252 pages) |
| ISBN: | 9781315137124 1315137127 9781351467520 1351467522 9781351467537 1351467530 9781351467544 1351467549 |