Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425886 | Advances in Mathematics | 2013 | 41 Pages |
Abstract
We introduce and investigate bucolic complexes, a common generalization of systolic complexes and CAT(0) cubical complexes. They are defined as simply connected prism complexes satisfying some local combinatorial conditions. We study various approaches to bucolic complexes: from graph-theoretic and topological perspectives, as well as from the point of view of geometric group theory. In particular, we characterize bucolic complexes by some properties of their 2-skeleta and 1-skeleta (that we call bucolic graphs), by which several known results are generalized. We also show that locally-finite bucolic complexes are contractible, and satisfy some nonpositive-curvature-like properties.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
B. Brešar, J. Chalopin, V. Chepoi, T. Gologranc, D. Osajda,