Organized Collapse: An Introduction to Discrete Morse Theory
portes grátis
Organized Collapse: An Introduction to Discrete Morse Theory
Kozlov, Dmitry N.
American Mathematical Society
04/2021
312
Mole
Inglês
9781470464554
15 a 20 dias
600
Descrição não disponível.
Preamble
Preface
The idea of homology
The idea of discrete Morse theory
A sample application
How to use this book
Prerequisites
Guide to the literature
Part 1 . Introduction to Homology
Chapter 1. The First Steps
Chapter 2. Simplicial Homology
Chapter 3. Beyond the Simplicial Setting
Part 2 . Further Aspects of Homology Theory
Chapter 4. Category of Chain Complexes
Chapter 5. Chain Homotopy
Chapter 6. Connecting Homomorphism
Chapter 7. Singular Homology
Chapter 8. Cellular Homology
Suggested further reading for Parts 1 and 2
Part 3 . Basic Discrete Morse Theory
Chapter 9. Simplicial Collapses
Chapter 10. Organizing Collapsing Sequences
Chapter 11. Internal Collapses and Discrete Morse Theory
Chapter 12. Explicit Homology Classes Associated to Critical Cells
Chapter 13. The Critical Morse Complex
Chapter 14. Implications and Variations
Suggested further reading for Part 3
Part 4 . Extensions of Discrete Morse Theory
Chapter 15. Algebraic Morse Theory
Chapter 16. Discrete Morse Theory for Posets
Chapter 17. Discrete Morse Theory for CW Complexes
Chapter 18. Discrete Morse Theory and Persistence
Suggested further reading for Part 4
Index
List of Figures
List of Tables
Bibliography
Index
Preview Material
Preface
Table of Contents
Preface
The idea of homology
The idea of discrete Morse theory
A sample application
How to use this book
Prerequisites
Guide to the literature
Part 1 . Introduction to Homology
Chapter 1. The First Steps
Chapter 2. Simplicial Homology
Chapter 3. Beyond the Simplicial Setting
Part 2 . Further Aspects of Homology Theory
Chapter 4. Category of Chain Complexes
Chapter 5. Chain Homotopy
Chapter 6. Connecting Homomorphism
Chapter 7. Singular Homology
Chapter 8. Cellular Homology
Suggested further reading for Parts 1 and 2
Part 3 . Basic Discrete Morse Theory
Chapter 9. Simplicial Collapses
Chapter 10. Organizing Collapsing Sequences
Chapter 11. Internal Collapses and Discrete Morse Theory
Chapter 12. Explicit Homology Classes Associated to Critical Cells
Chapter 13. The Critical Morse Complex
Chapter 14. Implications and Variations
Suggested further reading for Part 3
Part 4 . Extensions of Discrete Morse Theory
Chapter 15. Algebraic Morse Theory
Chapter 16. Discrete Morse Theory for Posets
Chapter 17. Discrete Morse Theory for CW Complexes
Chapter 18. Discrete Morse Theory and Persistence
Suggested further reading for Part 4
Index
List of Figures
List of Tables
Bibliography
Index
Preview Material
Preface
Table of Contents
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Preamble
Preface
The idea of homology
The idea of discrete Morse theory
A sample application
How to use this book
Prerequisites
Guide to the literature
Part 1 . Introduction to Homology
Chapter 1. The First Steps
Chapter 2. Simplicial Homology
Chapter 3. Beyond the Simplicial Setting
Part 2 . Further Aspects of Homology Theory
Chapter 4. Category of Chain Complexes
Chapter 5. Chain Homotopy
Chapter 6. Connecting Homomorphism
Chapter 7. Singular Homology
Chapter 8. Cellular Homology
Suggested further reading for Parts 1 and 2
Part 3 . Basic Discrete Morse Theory
Chapter 9. Simplicial Collapses
Chapter 10. Organizing Collapsing Sequences
Chapter 11. Internal Collapses and Discrete Morse Theory
Chapter 12. Explicit Homology Classes Associated to Critical Cells
Chapter 13. The Critical Morse Complex
Chapter 14. Implications and Variations
Suggested further reading for Part 3
Part 4 . Extensions of Discrete Morse Theory
Chapter 15. Algebraic Morse Theory
Chapter 16. Discrete Morse Theory for Posets
Chapter 17. Discrete Morse Theory for CW Complexes
Chapter 18. Discrete Morse Theory and Persistence
Suggested further reading for Part 4
Index
List of Figures
List of Tables
Bibliography
Index
Preview Material
Preface
Table of Contents
Preface
The idea of homology
The idea of discrete Morse theory
A sample application
How to use this book
Prerequisites
Guide to the literature
Part 1 . Introduction to Homology
Chapter 1. The First Steps
Chapter 2. Simplicial Homology
Chapter 3. Beyond the Simplicial Setting
Part 2 . Further Aspects of Homology Theory
Chapter 4. Category of Chain Complexes
Chapter 5. Chain Homotopy
Chapter 6. Connecting Homomorphism
Chapter 7. Singular Homology
Chapter 8. Cellular Homology
Suggested further reading for Parts 1 and 2
Part 3 . Basic Discrete Morse Theory
Chapter 9. Simplicial Collapses
Chapter 10. Organizing Collapsing Sequences
Chapter 11. Internal Collapses and Discrete Morse Theory
Chapter 12. Explicit Homology Classes Associated to Critical Cells
Chapter 13. The Critical Morse Complex
Chapter 14. Implications and Variations
Suggested further reading for Part 3
Part 4 . Extensions of Discrete Morse Theory
Chapter 15. Algebraic Morse Theory
Chapter 16. Discrete Morse Theory for Posets
Chapter 17. Discrete Morse Theory for CW Complexes
Chapter 18. Discrete Morse Theory and Persistence
Suggested further reading for Part 4
Index
List of Figures
List of Tables
Bibliography
Index
Preview Material
Preface
Table of Contents
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
