Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011, ©2011.
|
| Colección: | Cambridge tracts in mathematics ;
186. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Introduction; PART I: Finite-dimensional sets; 1 Lebesgue covering dimension; 2 Hausdorff measure and Hausdorff dimension; 3 Box-counting dimension; 4 An embedding theorem for subsets of RN in terms of the upper box-counting dimension; 5 Prevalence, probe spaces, and a crucial inequality; 6 Embedding sets with dH(X
- X) finite; 7 Thickness exponents; 8 Embedding sets of finite box-counting dimension; 9 Assouad dimension; PART II: Finite-dimensional attractors; 10 Partial differential equations and nonlinear semigroups.