Algebraic Topology / / Wolfgang Franz.
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
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| 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 |
| Online Access: | |
| Physical Description: | 1 online resource (V, 170 p.) |
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| LEADER | 04068nam a22006855i 4500 | ||
|---|---|---|---|
| 001 | 9783112318522 | ||
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| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 082 | 0 | 4 | |8 1p |a 514 |q DE-101 |
| 100 | 1 | |a Franz, Wolfgang, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Algebraic Topology / |c Wolfgang Franz. |
| 250 | |a Translated from the German original “Topologie II: Algebraische Topologie”. Reprint 2020 | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2020] | |
| 264 | 4 | |c ©1968 | |
| 300 | |a 1 online resource (V, 170 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t INTRODUCTION -- |t § 1. Analytic and Algebraic Topology -- |t § 2. Problems and Examples -- |t PART I. SIMPLICIAL COMPLEXES -- |t Chapter 1. GEOMETRY OF SIMPLICIAL COMPLEXES -- |t § 3. Hulls and Stars -- |t § 4. Barycentric Stars -- |t § 5. Simplicial Mappings -- |t § 6. Neighboring Mappings -- |t Chapter 2. HOMOLOGY GROUPS AND COHOMOLOGY GROUPS -- |t § 7. Orientation. Incidence Numbers -- |t § 8. Homology Groups -- |t § 9. Examples and Applications -- |t § 10. Cohomology Groups -- |t § 11. Homotopic Mappings -- |t PART II. CHAIN COMPLEXES AND THEIR APPLICATIONS -- |t Chapter 3. GENERAL THEORY -- |t § 12. Homology Groups of Chain Complexes -- |t § 13. Subcomplexes and Factor Complexes -- |t § 14. The Boundary Operator -- |t Chapter 4. FREE CHAIN COMPLEXES -- |t § 15. Modules and Dual Modules -- |t § 16. Mappings and Dual Mappings -- |t § 17. Free Chain Complexes. Canonical Bases -- |t PART III. CELL COMPLEXES. INVARIANCE -- |t Chapter 5. CELL COMPLEXES -- |t § 18. Cell Decompositions -- |t § 19. The Homology Groups of Cell Decompositions -- |t § 20. Normal Subdivisions -- |t Chapter 6. INVARIANCE OF THE HOMOLOGY GROUPS -- |t § 21. Proof of Invariance -- |t § 22. Supplements. Generalizations -- |t § 23. Results and Applications -- |t § 24. Local Homology Groups -- |t PART IV. DEVELOPMENT OF THE THEORY -- |t Chapter 7. PRODUCTS IN POLYHEDRA -- |t § 25. The Cohomology Ring -- |t § 26. The Cap Product -- |t Chapter 8. MANIFOLDS -- |t § 27. Definitions -- |t § 28. Complementary Cell Decompositions -- |t § 29. The Poincaré Duality Theorem -- |t Chapter 9. THE COHOMOLOGY RING OF A MANIFOLD -- |t § 30. Products in Manifolds -- |t § 31. Product Matrices -- |t BIBLIOGRAPHY -- |t INDEX |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) | |
| 650 | 4 | |a Algebra. | |
| 650 | 4 | |a Mathematik. | |
| 650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
| 700 | 1 | |a Boron, Leo F. | |
| 700 | 1 | |a Shore, Samuel D. | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - <1990 |z 9783110635881 |o ZDB-23-GMA |
| 776 | 0 | |c print |z 9783112307250 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783112318522 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783112318522 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783112318522/original |
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