The proper geometric dimension of the mapping class group
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Aramayona, Javier; Martínez-Pérez, Conchita (2014). The proper geometric dimension of the mapping class group. Algebraic & Geometric Topology 14 (1), 217-227
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.