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O A ] 3 1 O ct 2 01 7 Spectral geometries on a compact metric space
| Content Provider | Semantic Scholar |
|---|---|
| Author | Buyalo, Sergei |
| Copyright Year | 2018 |
| 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 noncommutative geometry. A set of axioms charaterizing 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1710.11333 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
