Dimensions, Embeddings, and Attractors Hardback
by James C. (University of Warwick) Robinson
Part of the Cambridge Tracts in Mathematics series
Hardback
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Description
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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Out of StockMore expected soonContact us for further information
- Format:Hardback
- Pages:218 pages, Worked examples or Exercises; 5 Halftones, unspecified; 5 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:16/12/2010
- Category:
- ISBN:9780521898058
Information
-
Out of StockMore expected soonContact us for further information
- Format:Hardback
- Pages:218 pages, Worked examples or Exercises; 5 Halftones, unspecified; 5 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:16/12/2010
- Category:
- ISBN:9780521898058