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 |
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| Physical Description: | 1 online resource (V, 170 p.) |
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Franz, Wolfgang, author. aut http://id.loc.gov/vocabulary/relators/aut Algebraic Topology / Wolfgang Franz. Translated from the German original “Topologie II: Algebraische Topologie”. Reprint 2020 Berlin ; Boston : De Gruyter, [2020] ©1968 1 online resource (V, 170 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Algebra. Mathematik. MATHEMATICS / Algebra / General. bisacsh Boron, Leo F. Shore, Samuel D. Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 9783110635881 ZDB-23-GMA print 9783112307250 https://doi.org/10.1515/9783112318522 https://www.degruyter.com/isbn/9783112318522 Cover https://www.degruyter.com/document/cover/isbn/9783112318522/original |
| language |
English |
| format |
eBook |
| author |
Franz, Wolfgang, Franz, Wolfgang, |
| spellingShingle |
Franz, Wolfgang, Franz, Wolfgang, Algebraic Topology / 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 |
| author_facet |
Franz, Wolfgang, Franz, Wolfgang, Boron, Leo F. Shore, Samuel D. |
| author_variant |
w f wf w f wf |
| author_role |
VerfasserIn VerfasserIn |
| author2 |
Boron, Leo F. Shore, Samuel D. |
| author2_variant |
l f b lf lfb s d s sd sds |
| author2_role |
TeilnehmendeR TeilnehmendeR |
| author_sort |
Franz, Wolfgang, |
| title |
Algebraic Topology / |
| title_full |
Algebraic Topology / Wolfgang Franz. |
| title_fullStr |
Algebraic Topology / Wolfgang Franz. |
| title_full_unstemmed |
Algebraic Topology / Wolfgang Franz. |
| title_auth |
Algebraic Topology / |
| title_alt |
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 |
| title_new |
Algebraic Topology / |
| title_sort |
algebraic topology / |
| publisher |
De Gruyter, |
| publishDate |
2020 |
| physical |
1 online resource (V, 170 p.) |
| edition |
Translated from the German original “Topologie II: Algebraische Topologie”. Reprint 2020 |
| contents |
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 |
| isbn |
9783112318522 9783110635881 9783112307250 |
| url |
https://doi.org/10.1515/9783112318522 https://www.degruyter.com/isbn/9783112318522 https://www.degruyter.com/document/cover/isbn/9783112318522/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
514 - Topology |
| dewey-full |
514 |
| dewey-sort |
3514 |
| dewey-raw |
514 |
| dewey-search |
514 |
| doi_str_mv |
10.1515/9783112318522 |
| oclc_num |
1158109285 |
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AT franzwolfgang algebraictopology AT boronleof algebraictopology AT shoresamueld algebraictopology |
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n |
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(DE-B1597)533633 (OCoLC)1158109285 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
| is_hierarchy_title |
Algebraic Topology / |
| container_title |
Title is part of eBook package: De Gruyter DGBA Mathematics - <1990 |
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noLinkedField noLinkedField |
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