Dimensions, Embeddings, and Attractors
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 attra…
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Produktdetails
- ISBN: 978-0-511-92445-3
- EAN: 9780511924453
- Produktnummer: 13882516
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2010
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 2'389 KB
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