New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory (Hardback)
  • New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory (Hardback)
zoom

New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory (Hardback)

(author)
£69.00
Hardback 260 Pages / Published: 13/10/2017
  • We can order this

Usually dispatched within 2 weeks

  • This item has been added to your basket
This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics. They are the backbone of what the author proposes as a computational alternative to Morse-Novikov theory, referred to in this book as AMN-theory.These invariants are on one side analogues of rest points, instantons and closed trajectories of vector fields and on the other side, refine basic topological invariants like homology and monodromy. They are associated to tame maps, considerably more general than Morse maps, that are defined on spaces which are considerably more general than manifolds. They are computable by computer implementable algorithms and have strong robustness properties. They relate the dynamics of flows that admit the map as 'Lyapunov map' to the topology of the underlying space, in a similar manner as Morse-Novikov theory does.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789814618243
Number of pages: 260

You may also be interested in...

Knot Theory and Its Applications
Added to basket
A Combinatorial Introduction to Topology
Added to basket
Schaums Outline of General Topology
Added to basket
Introduction to Topology
Added to basket
Algebraic Topology
Added to basket
£30.99
Paperback
Flatland
Added to basket
£9.99
Paperback
Fractals: A Very Short Introduction
Added to basket
Essential Topology
Added to basket
The Poincare Conjecture
Added to basket
Riemann Surfaces
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.