Generating Simplicial Complexes
Differential Geometry
2010-05-12 v3 Geometric Topology
Abstract
In the spirit of topological entropy we introduce new complexity functions for general dynamical systems (namely groups and semigroups acting on closed manifolds) but with an emphasis on the dynamics induced on simplicial complexes. For expansive systems remarkable properties are observed. Known examples are revisited and new examples are presented.
Cite
@article{arxiv.0806.4588,
title = {Generating Simplicial Complexes},
author = {Daniel J. Pons and Pierre P. Romagnoli},
journal= {arXiv preprint arXiv:0806.4588},
year = {2010}
}
Comments
This paper has been withdrawn due to some mistakes in the text