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arxiv: 1701.01313 · v1 · pith:7H5AKCKTnew · submitted 2017-01-05 · 🧮 math.GR · math.GT

Cubical accessibility and bounds on curves on surfaces

classification 🧮 math.GR math.GT
keywords accessibilityboundboundscurvessurfacesactionsacylindricalapply
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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.

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