English

Spherical subcomplexes of spherical buildings

Geometric Topology 2016-01-20 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1007.2407,
  title  = {Spherical subcomplexes of spherical buildings},
  author = {Bernd Schulz},
  journal= {arXiv preprint arXiv:1007.2407},
  year   = {2016}
}

Comments

33 pages, 7 figures

R2 v1 2026-06-21T15:48:10.104Z