Spectral geometries on a compact metric space
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 ge...
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| creator | Buyalo, Sergei |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1710.11333 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.1710.11333</identifier><language>eng</language><subject>Mathematics - Metric Geometry ; Mathematics - Operator Algebras</subject><creationdate>2017-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1710.11333$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1710.11333$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Buyalo, Sergei</creatorcontrib><title>Spectral geometries on a compact metric space</title><description>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.</description><subject>Mathematics - Metric Geometry</subject><subject>Mathematics - Operator Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjrsKwjAYRrM4iPoATuYFqom5NaOINxAcdC9__iRSsLakRfTt1er08Z3hcAiZcjaXuVJsAelZPubcfADnQoghyc5NwC7BjV5DXYUulaGl9Z0CxbpqADvaQ6Tt54QxGUS4tWHy3xG5bDeX9T47nnaH9eqYgTYiM45pBsh91ByMt6iklxasttotvUMFwKQDbqORTMRldAq1xzwaH3MXtBiR2U_b9xZNKitIr-LbXfTd4g131z2o</recordid><startdate>20171031</startdate><enddate>20171031</enddate><creator>Buyalo, Sergei</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20171031</creationdate><title>Spectral geometries on a compact metric space</title><author>Buyalo, Sergei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-7b060ac1df61a7d9c54d49a9696b2dbc5aa04ba19f7403f2fb5c6dc8f7df8be63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Metric Geometry</topic><topic>Mathematics - Operator Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Buyalo, Sergei</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Buyalo, Sergei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spectral geometries on a compact metric space</atitle><date>2017-10-31</date><risdate>2017</risdate><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.</abstract><doi>10.48550/arxiv.1710.11333</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Metric Geometry Mathematics - Operator Algebras |
| title | Spectral geometries on a compact metric space |
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