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Dimensions, Embeddings, and Attractors
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Dimensions, Embeddings, and Attractors Hardback - 2010

by James C. Robinson

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This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of abstract embedding results, and provides a unified treatment of four definitions of dimension that arise in disparate fields: Lebesgue covering dimension (from classical 'dimension theory'), Hausdorff dimension (from geometric measure theory), upper box-counting dimension (from dynamical systems), and Assouad dimension (from the theory of metric spaces). These abstract embedding results are applied in the second part of the book to the finite-dimensional global attractors that arise in certain infinite-dimensional dynamical systems, deducing practical consequences from the existence of such attractors: a version of the Takens time-delay embedding theorem valid in spatially extended systems, and a result on parametrisation by point values. This book will appeal to all researchers with an interest in dimension theory, particularly those working in dynamical systems.

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  • Title Dimensions, Embeddings, and Attractors
  • Author James C. Robinson
  • Binding Hardback
  • Pages 218
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2010-12-16
  • Features Bibliography, Dust Cover, Index, Table of Contents
  • ISBN 9780521898058 / 0521898056
  • Weight 1 lbs (0.45 kg)
  • Dimensions 9 x 6 x 0.8 in (22.86 x 15.24 x 2.03 cm)
  • Category Mathematics
  • Library of Congress subjects Topological imbeddings, Dimension theory (Topology)
  • Library of Congress Catalogue Number 2010042726
  • Dewey Decimal Code 515.39

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Dimensions, Embeddings, and Attractors: 186 (Cambridge Tracts in Mathematics, Series Number 186)
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Dimensions, Embeddings, and Attractors: 186 (Cambridge Tracts in Mathematics, Series Number 186)

by Robinson, James C.

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Dimensions, Embeddings, and Attractors

Dimensions, Embeddings, and Attractors

by James C. Robinson

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; This book treats four fundamentally different definitions - from topology, geometric measure theory, dynamical systems, and the theory of metric spaces - concentrating on how 'finite-dimensional' sets can be embedded into Euclidean spac
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Dimensions, Embeddings, and Attractors

Dimensions, Embeddings, and Attractors

by James C. Robinson

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Hardback. New. This book treats four fundamentally different definitions - from topology, geometric measure theory, dynamical systems, and the theory of metric spaces - concentrating on how 'finite-dimensional' sets can be embedded into Euclidean spaces. For all researchers with an interest in dimension theory, particularly those working in dynamical systems.
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LINEAR EMBEDDINGS FINITE DIMENSION SETS
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LINEAR EMBEDDINGS FINITE DIMENSION SETS

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Cambridge Univ Pr, 2010. Hardcover. New. 218 pages. 9.06x6.22x0.79 inches.
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Dimensions, Embeddings, and Attractors
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Dimensions, Embeddings, and Attractors

by Robinson, James C,

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Dimensions, Embeddings, and Attractors (Cambridge Tracts in Mathematics, Series Number 186)
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Dimensions, Embeddings, and Attractors (Cambridge Tracts in Mathematics, Series Number 186)

by Robinson, James C

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Dimensions, Embeddings, and Attractors
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Dimensions, Embeddings, and Attractors

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Dimensions, Embeddings, and Attractors (Cambridge Tracts in Mathematics, Series Number 186)
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Dimensions, Embeddings, and Attractors (Cambridge Tracts in Mathematics, Series Number 186)

by Robinson, James C.

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Dimensions, Embeddings, and Attractors
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Dimensions, Embeddings, and Attractors

by James C. Robinson

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