Algebraic Topology / / Wolfgang Franz.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - <1990
• VerfasserIn: Franz, Wolfgang,
• TeilnehmendeR: Boron, Leo F.; Shore, Samuel D.
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©1968
• Year of Publication: 2020
• Edition: Translated from the German original “Topologie II: Algebraische Topologie”. Reprint 2020
• Language: English
• Physical Description: 1 online resource (V, 170 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783112318522; 9783110635881
• DOI: 10.1515/9783112318522
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Wolfgang Franz.