The homotopical dimension of random 2-complexes
Algebraic Topology
2010-05-20 v1 Probability
Abstract
In this paper we study the Linial-Meshulam model of random two-dimensional complexes. We prove that a random 2-complex is homotopically one dimensional, with probability tending to one as n tends to infitnity, assuming that the probability parameter p satisfies pn --> 0.
Cite
@article{arxiv.1005.3383,
title = {The homotopical dimension of random 2-complexes},
author = {Daniel C. Cohen and Michael Farber and Thomas Kappeler},
journal= {arXiv preprint arXiv:1005.3383},
year = {2010}
}