Cubical accessibility and bounds on curves on surfaces

Benjamin Beeker; Nir Lazarovich

doi:10.1112/topo.12030

Cubical accessibility and bounds on curves on surfaces

Research output: Contribution to journal › Article › peer-review

Abstract

We bound the size of d-dimensional cubulations of finitely presented groups. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bounds on curves on surfaces.

Original language	English
Pages (from-to)	1050-1065
Number of pages	16
Journal	Journal of Topology
Volume	10
Issue number	4
DOIs	https://doi.org/10.1112/topo.12030
State	Published - Dec 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1112/topo.12030

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title = "Cubical accessibility and bounds on curves on surfaces",

abstract = "We bound the size of d-dimensional cubulations of finitely presented groups. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bounds on curves on surfaces.",

author = "Benjamin Beeker and Nir Lazarovich",

note = "Publisher Copyright: {\textcopyright} 2017 London Mathematical Society.",

year = "2017",

month = dec,

doi = "10.1112/topo.12030",

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journal = "Journal of Topology",

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M3 - مقالة

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EP - 1065

JO - Journal of Topology

JF - Journal of Topology

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Cubical accessibility and bounds on curves on surfaces

Abstract

All Science Journal Classification (ASJC) codes

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