Mathematics – Algebraic Topology
Scientific paper
2010-05-19
Mathematics
Algebraic Topology
Scientific paper
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.
Cohen Daniel C.
Farber Michael
Kappeler Thomas
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