Quasiflats in CAT(0) 2-complexes

Mladen Bestvina; Bruce Kleiner; Michah Sageev

doi:10.2140/agt.2016.16.2663

Quasiflats in CAT(0) 2-complexes

Mladen Bestvina, Bruce Kleiner, Michah Sageev

Mathematics

Technion - Israel Institute of Technology

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

Abstract

We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset Q which is locally flat outside a compact set, and asymptotically conical.

Original language	English
Pages (from-to)	2663-2676
Number of pages	14
Journal	Algebraic and Geometric Topology
Volume	16
Issue number	5
DOIs	https://doi.org/10.2140/agt.2016.16.2663
State	Published - 7 Nov 2016

Keywords

Piecewise Euclidean complex
Quasi-isometry
Quasiflat

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/agt.2016.16.2663

Cite this

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title = "Quasiflats in CAT(0) 2-complexes",

abstract = "We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset Q which is locally flat outside a compact set, and asymptotically conical.",

keywords = "Piecewise Euclidean complex, Quasi-isometry, Quasiflat",

author = "Mladen Bestvina and Bruce Kleiner and Michah Sageev",

year = "2016",

month = nov,

day = "7",

doi = "10.2140/agt.2016.16.2663",

language = "الإنجليزيّة",

volume = "16",

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TY - JOUR

T1 - Quasiflats in CAT(0) 2-complexes

AU - Bestvina, Mladen

AU - Kleiner, Bruce

AU - Sageev, Michah

PY - 2016/11/7

Y1 - 2016/11/7

N2 - We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset Q which is locally flat outside a compact set, and asymptotically conical.

AB - We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset Q which is locally flat outside a compact set, and asymptotically conical.

KW - Piecewise Euclidean complex

KW - Quasi-isometry

KW - Quasiflat

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U2 - 10.2140/agt.2016.16.2663

DO - 10.2140/agt.2016.16.2663

M3 - مقالة

SN - 1472-2747

VL - 16

SP - 2663

EP - 2676

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 5

ER -

Quasiflats in CAT(0) 2-complexes

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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