2005/02/01 by Yuri I. Manin, Manin, Yuri I.
Mathematics · #14A15 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #General Mathematics (math.GM) #math.AG #math.DG #math.GM #msc:14A15
paper · pdf · doi:10.48550/arxiv.math/0502016
29 pages, a review
arxiv created 2005/02/01 · arxiv updated 2009/12/01
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.