Systolic invariants of groups and 2-complexes via Grushko decomposition

Simple item page
dc.creatorRudyak, Yuli B.
dc.creatorSabourau, Stéphane
dc.date2006-09-14
dc.date.accessioned2026-07-07T07:24:48Z
dc.date.available2026-07-07T07:24:48Z
dc.descriptionWe prove a finiteness result for the systolic area of groups, answering a question of M. Gromov. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of~2-complexes whose systolic area is uniformly bounded. Furthermore, we prove a uniform systolic inequality for all 2-complexes with unfree fundamental group that improves the previously known bounds in this dimension.
dc.descriptionLATEX, 22 pages
dc.identifierhttps://arxiv.org/abs/math/0609379
dc.identifierhttp://arxiv.org/abs/math/0609379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116507
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C23
dc.titleSystolic invariants of groups and 2-complexes via Grushko decomposition
dc.typetext

Files

Collections

arXiv