Spectral geometries on a compact metric space
Operator Algebras
2017-11-01 v1 Metric Geometry
Abstract
The notion of a spectral geometry on a compact metric space X is introduced. This notion serves as a discrete approximation of X motivated by the notion of a spectral triple from non-commutative geometry. A set of axioms charaterising spectral geometries is given. Bounded deformations of spectral geometries are studied and the relationship between the dimension of a spectral geometry and more traditional dimensions of metric spaces is investigated.
Cite
@article{arxiv.1710.11333,
title = {Spectral geometries on a compact metric space},
author = {Sergei Buyalo},
journal= {arXiv preprint arXiv:1710.11333},
year = {2017}
}
Comments
I post this 1999 preprint on the arXive thanks to an advice by Professor Marc Rieffel