Algebraic & Geometric Topology

Coarse medians and Property A

Ján Špakula and Nick Wright

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We prove that uniformly locally finite quasigeodesic coarse median spaces of finite rank and at most exponential growth have Property A. This offers an alternative proof of the fact that mapping class groups have Property A.

Article information

Algebr. Geom. Topol., Volume 17, Number 4 (2017), 2481-2498.

Received: 15 July 2016
Accepted: 8 February 2017
First available in Project Euclid: 16 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]
Secondary: 30L05: Geometric embeddings of metric spaces

coarse median $CAT(0)$ cube complexes Yu's Property A


Špakula, Ján; Wright, Nick. Coarse medians and Property A. Algebr. Geom. Topol. 17 (2017), no. 4, 2481--2498. doi:10.2140/agt.2017.17.2481.

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