Systolic category
id:
systolic-category-302-17610818
title:
Systolic category
text:
The systole is a numerical invariant of a closed manifold M, introduced by Mikhail Katz and Yuli Rudyak in 2006, by analogy with the Lusternik–Schnirelmann category. The invariant is defined in terms of the systoles of M and its covers, as the largest number of systoles in a product yielding a curvature-free lower bound for the total volume of M. The invariant is intimately related to the Lusternik-Schnirelmann category. Thus, in dimensions 2 and 3, the two invariants coincide. In dimension 4, t
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Systolic_category
date created:
date modified:
2023-08-29T07:57:35Z
main entity:
{"identifier":"Q17068928","url":"https://www.wikidata.org/entity/Q17068928"}
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fields total:
13
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13