Cubulating spaces with walls

@article{Nica2004CubulatingSW,
  title={Cubulating spaces with walls},
  author={Bogdan Nica},
  journal={Algebraic & Geometric Topology},
  year={2004},
  volume={4},
  pages={297-309}
}
  • Bogdan Nica
  • Published 2004
  • Mathematics
  • Algebraic & Geometric Topology
The elegant notion of a space with walls was introduced by Haglund and Paulin [6]. Prototypical examples of spaces with walls are CAT(0) cube complexes, introduced by Gromov in [5]. The purpose of this note is to observe that every space with walls has a canonical embedding in a CAT(0) cube complex and, consequently, a group action on a space with walls extends naturally to a group action on a CAT(0) cube complex. The usefulness of this result is that spaces with walls are often easily… Expand
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