Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the classifying space of the family of virtually cyclic subgroups   We study the minimal dimension of the classifying space of the family of
virtually cyclic subgroups of a discrete group. We give a complete answer for
instance if the group is virtually poly-Z, word-hyperbolic or countable locally
virtually cyclic. We give examples of groups for which the difference of the
minimal dimensions of the classifying spaces of virtually cyclic and of finite
subgroups is -1, 0 and 1, and show in many cases that no other values can
occur.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci