## Algebraic & Geometric Topology

### The proper geometric dimension of the mapping class group

#### Abstract

We show that the mapping class group of a closed surface admits a cocompact classifying space for proper actions of dimension equal to its virtual cohomological dimension.

#### Article information

Source
Algebr. Geom. Topol., Volume 14, Number 1 (2014), 217-227.

Dates
Accepted: 22 July 2013
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715799

Digital Object Identifier
doi:10.2140/agt.2014.14.217

Mathematical Reviews number (MathSciNet)
MR3158758

Zentralblatt MATH identifier
1354.20025

#### Citation

Aramayona, Javier; Martínez-Pérez, Conchita. The proper geometric dimension of the mapping class group. Algebr. Geom. Topol. 14 (2014), no. 1, 217--227. doi:10.2140/agt.2014.14.217. https://projecteuclid.org/euclid.agt/1513715799

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