Kooperativer Bibliotheksverbund

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Format: 1 online resource (V, 170 p.)

Edition: Translated from the German original "Topologie II: Algebraische Topologie". Reprint 2020

ISBN: 9783112318522 , 9783110635881

Note: Frontmatter -- , CONTENTS -- , INTRODUCTION -- , § 1. Analytic and Algebraic Topology -- , § 2. Problems and Examples -- , PART I. SIMPLICIAL COMPLEXES -- , Chapter 1. GEOMETRY OF SIMPLICIAL COMPLEXES -- , § 3. Hulls and Stars -- , § 4. Barycentric Stars -- , § 5. Simplicial Mappings -- , § 6. Neighboring Mappings -- , Chapter 2. HOMOLOGY GROUPS AND COHOMOLOGY GROUPS -- , § 7. Orientation. Incidence Numbers -- , § 8. Homology Groups -- , § 9. Examples and Applications -- , § 10. Cohomology Groups -- , § 11. Homotopic Mappings -- , PART II. CHAIN COMPLEXES AND THEIR APPLICATIONS -- , Chapter 3. GENERAL THEORY -- , § 12. Homology Groups of Chain Complexes -- , § 13. Subcomplexes and Factor Complexes -- , § 14. The Boundary Operator -- , Chapter 4. FREE CHAIN COMPLEXES -- , § 15. Modules and Dual Modules -- , § 16. Mappings and Dual Mappings -- , § 17. Free Chain Complexes. Canonical Bases -- , PART III. CELL COMPLEXES. INVARIANCE -- , Chapter 5. CELL COMPLEXES -- , § 18. Cell Decompositions -- , § 19. The Homology Groups of Cell Decompositions -- , § 20. Normal Subdivisions -- , Chapter 6. INVARIANCE OF THE HOMOLOGY GROUPS -- , § 21. Proof of Invariance -- , § 22. Supplements. Generalizations -- , § 23. Results and Applications -- , § 24. Local Homology Groups -- , PART IV. DEVELOPMENT OF THE THEORY -- , Chapter 7. PRODUCTS IN POLYHEDRA -- , § 25. The Cohomology Ring -- , § 26. The Cap Product -- , Chapter 8. MANIFOLDS -- , § 27. Definitions -- , § 28. Complementary Cell Decompositions -- , § 29. The Poincaré Duality Theorem -- , Chapter 9. THE COHOMOLOGY RING OF A MANIFOLD -- , § 30. Products in Manifolds -- , § 31. Product Matrices -- , BIBLIOGRAPHY -- , INDEX , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Mathematics - 〈1990, De Gruyter, 9783110635881

Additional Edition: ISBN 9783112307250

Language: English

DOI: 10.1515/9783112318522

URL: https://doi.org/10.1515/9783112318522

URL: https://www.degruyter.com/isbn/9783112318522

URL: Cover

URL: https://www.degruyter.com/isbn/9783112318522