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arXiv · 1207.1474

An Eilenberg-Ganea Phenomenon for Actions with Virtually Cyclic Stabilisers

Martin Fluch·Ian J. Leary
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Abstract

In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups. For some Coxeter groups and the family of virtually cyclic subgroups we show that the Bredon cohomological dimension is 2 while the Bredon geometric dimension is 3.

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Martin Fluch, Ian J. Leary. 2014-04-24. An Eilenberg-Ganea Phenomenon for Actions with Virtually Cyclic Stabilisers. https://arxiv.org/abs/1207.1474

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