The notion of dimension in geometry and algebra
Algebraic Geometry
2007-05-23 v1 Differential Geometry
General Mathematics
Abstract
This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
Keywords
Cite
@article{arxiv.math/0502016,
title = {The notion of dimension in geometry and algebra},
author = {Yuri I. Manin},
journal= {arXiv preprint arXiv:math/0502016},
year = {2007}
}
Comments
29 pages, a review