The homotopical dimension of random 2-complexes
classification
🧮 math.AT
math.PR
keywords
randomcomplexesprobabilityassumingcomplexdimensiondimensionalhomotopical
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.