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...

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Hlavní autor: Antoniou, Stathis (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Springer Theses, Recognizing Outstanding Ph.D. Research,
Témata:
Physics.
Topology.
Cosmology.
Statistical physics.
Dynamics.
Ergodic theory.
ISBN:9783319970677
ISSN:2190-5053
On-line přístup: Získat plný text
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Obsah:
  • 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.

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