Mathematical Modeling Through Topological Surgery and Applications
Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1-dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2-dimensional s...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018, 2018
|
| Edition: | 1st ed. 2018 |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Useful Mathematical Notions
- The Formal Definition of Surgery
- Continuity
- Dynamics
- Solid Surgery
- A Dynamical System Modeling Solid 2-Dimensional 0-Surgery
- The Ambient Space S3
- Embedded Surgery
- 3-Dimensional Surgery
- Conclusions