Algebraic Topology
eBook - PDF

Algebraic Topology

  1. 175 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Topology

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Yes, you can access Algebraic Topology by Wolfgang Franz, Leo F. Boron in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematik Allgemein. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2020
Print ISBN
9783112307250
eBook ISBN
9783112318522
Edition
1
Topic
Mathematik
Subtopic
Mathematik Allgemein

Table of contents

  1. CONTENTS
  2. INTRODUCTION
  3. § 1. Analytic and Algebraic Topology
  4. § 2. Problems and Examples
  5. PART I. SIMPLICIAL COMPLEXES
  6. Chapter 1. GEOMETRY OF SIMPLICIAL COMPLEXES
  7. § 3. Hulls and Stars
  8. § 4. Barycentric Stars
  9. § 5. Simplicial Mappings
  10. § 6. Neighboring Mappings
  11. Chapter 2. HOMOLOGY GROUPS AND COHOMOLOGY GROUPS
  12. § 7. Orientation. Incidence Numbers
  13. § 8. Homology Groups
  14. § 9. Examples and Applications
  15. § 10. Cohomology Groups
  16. § 11. Homotopic Mappings
  17. PART II. CHAIN COMPLEXES AND THEIR APPLICATIONS
  18. Chapter 3. GENERAL THEORY
  19. § 12. Homology Groups of Chain Complexes
  20. § 13. Subcomplexes and Factor Complexes
  21. § 14. The Boundary Operator
  22. Chapter 4. FREE CHAIN COMPLEXES
  23. § 15. Modules and Dual Modules
  24. § 16. Mappings and Dual Mappings
  25. § 17. Free Chain Complexes. Canonical Bases
  26. PART III. CELL COMPLEXES. INVARIANCE
  27. Chapter 5. CELL COMPLEXES
  28. § 18. Cell Decompositions
  29. § 19. The Homology Groups of Cell Decompositions
  30. § 20. Normal Subdivisions
  31. Chapter 6. INVARIANCE OF THE HOMOLOGY GROUPS
  32. § 21. Proof of Invariance
  33. § 22. Supplements. Generalizations
  34. § 23. Results and Applications
  35. § 24. Local Homology Groups
  36. PART IV. DEVELOPMENT OF THE THEORY
  37. Chapter 7. PRODUCTS IN POLYHEDRA
  38. § 25. The Cohomology Ring
  39. § 26. The Cap Product
  40. Chapter 8. MANIFOLDS
  41. § 27. Definitions
  42. § 28. Complementary Cell Decompositions
  43. § 29. The Poincaré Duality Theorem
  44. Chapter 9. THE COHOMOLOGY RING OF A MANIFOLD
  45. § 30. Products in Manifolds
  46. § 31. Product Matrices
  47. BIBLIOGRAPHY
  48. INDEX