Geometry and topology of random 2-complexes

DOI10.1007/s11856-015-1240-2zbMath1330.55016arXiv1307.3614OpenAlexW2963174234MaRDI QIDQ891189

A. E. Costa, Michael S. Farber

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3614

zbMATH Keywords

random graphWhitehead conjecturerandom 2-complex

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Simplicial sets and complexes in algebraic topology (55U10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (9)

Large random simplicial complexes, II; the fundamental group ⋮ Random Simplicial Complexes: Models and Phenomena ⋮ Maps on random hypergraphs and random simplicial complexes ⋮ Random hypergraphs, random simplicial complexes and their Künneth-type formulae ⋮ Random Simplicial Complexes ⋮ Random chain complexes ⋮ Large random simplicial complexes, I ⋮ Freeness of the random fundamental group ⋮ On simple connectivity of random 2-complexes

Cites Work

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• Topology of random 2-complexes
• Homological connectivity of random 2-complexes
• Filling Riemannian manifolds
• Collapsibility and vanishing of top homology in random simplicial complexes
• The Whitehead conjecture -- an overview
• The threshold function for vanishing of the top homology group of random 𝑑-complexes
• The fundamental group of random 2-complexes
• Cheeger constants of surfaces and isoperimetric inequalities
• Systoles of 2-complexes, Reeb graph, and Grushko decomposition
• Homological connectivity of random k -dimensional complexes
• ON THE SECOND HOMOTOPY GROUP OF CERTAIN SIMPLICIAL COMPLEXES AND SOME COMBINATORIAL APPLICATIONS
• The asphericity of random 2‐dimensional complexes
• On Two-Dimensional Aspherical Complexes

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