Knot Projections
Autor Noboru Itoen Limba Engleză Paperback – 30 sep 2020
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Specificații
ISBN-13: 9780367658298
ISBN-10: 0367658291
Pagini: 220
Dimensiuni: 156 x 234 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Locul publicării:Boca Raton, United States
ISBN-10: 0367658291
Pagini: 220
Dimensiuni: 156 x 234 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Locul publicării:Boca Raton, United States
Cuprins
Introduction. Mathematical Background. A topological invariant of knot projections. Classification by RI and RII. Classification by strong and weak RIII. Constructing new topological invariants of equivalence classes of knot projections. Survey on classification problems of knot projections.
Notă biografică
Noboru Ito is currently a project researcher at the University of Tokyo, Japan. He was previously an assistant professor and associate professor of Mathematics at the Waseda Institute for Advanced Study, in Tokyo, Japan.
Recenzii
"Overall, this book's clear exposition makes it equally approachable to experts working in knot theory and graduate students who are just learning about the subject. It provides a comprehensive guide to current research on knot projections and different notions of equivalence along with many interesting exercises and open questions for exploration."
- Allison Henrich, Mathematical Reviews, July 2017
- Allison Henrich, Mathematical Reviews, July 2017
Descriere
Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections