Spherical subcomplexes of spherical buildings

Details Spherical subcomplexes of spherical buildings Spherical subcomplexes of spherical buildings

2010-07-14

arxiv.org/abs/1007.2407v4

Mathematics

Geometric Topology

33 pages, 7 figures

Scientific paper

Let B be a thick spherical building equipped with its natural CAT(1) metric
and let M be a proper, convex subset of B. If M is open or if M is a closed
ball of radius pi/2, then the maximal subcomplex supported by the complement of
M is spherical and non contractible.

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