中图分类法:
O189 版次:
著者:
Robinson, James C.
题名:
Dimensions, embeddings, and attractors / ,
出版发行:
出版地: Cambridge ; 出版社: Cambridge University Press, 出版日期: 2011.
载体形态:
1 online resource (205 p.)
内容提要:
"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)