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- Systolic_category abstract "Systolic category 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, the systolic category is known to be a lower bound for the Lusternik–Schnirelmann category.".
- Systolic_category wikiPageID "26120737".
- Systolic_category wikiPageLength "1667".
- Systolic_category wikiPageOutDegree "11".
- Systolic_category wikiPageRevisionID "677223459".
- Systolic_category wikiPageWikiLink Category:Systolic_geometry.
- Systolic_category wikiPageWikiLink Communications_on_Pure_and_Applied_Mathematics.
- Systolic_category wikiPageWikiLink Invariant_(mathematics).
- Systolic_category wikiPageWikiLink Israel_Journal_of_Mathematics.
- Systolic_category wikiPageWikiLink Journal_of_the_London_Mathematical_Society.
- Systolic_category wikiPageWikiLink London_Mathematical_Society.
- Systolic_category wikiPageWikiLink Lusternik–Schnirelmann_category.
- Systolic_category wikiPageWikiLink Manifold.
- Systolic_category wikiPageWikiLink Mathematische_Annalen.
- Systolic_category wikiPageWikiLink Mikhail_Katz.
- Systolic_category wikiPageWikiLink Systolic_geometry.
- Systolic_category wikiPageWikiLink Yuli_Rudyak.
- Systolic_category wikiPageWikiLinkText "Systolic category".
- Systolic_category wikiPageWikiLinkText "systolic category".
- Systolic_category wikiPageWikiLinkText "systolic topology".
- Systolic_category hasPhotoCollection Systolic_category.
- Systolic_category wikiPageUsesTemplate Template:Systolic_geometry_navbox.
- Systolic_category subject Category:Systolic_geometry.
- Systolic_category hypernym Invariant.
- Systolic_category comment "Systolic category 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.".
- Systolic_category label "Systolic category".
- Systolic_category sameAs m.0b6jly5.
- Systolic_category sameAs Q17068928.
- Systolic_category sameAs Q17068928.
- Systolic_category wasDerivedFrom Systolic_category?oldid=677223459.
- Systolic_category isPrimaryTopicOf Systolic_category.