Large random simplicial complexes, II; the fundamental group

DOI10.1142/S1793525317500170zbMath1378.55011arXiv1509.04837OpenAlexW2963214206MaRDI QIDQ5276004

A. E. Costa, Michael S. Farber

Publication date: 14 July 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04837

zbMATH Keywords

random simplicial complexWhitehead conjecturehyperbolically uniform

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Geometric group theory (20F65) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (14)

Random recursive hypergraphs ⋮ Random simplicial complexes, duality and the critical dimension ⋮ Maps on random hypergraphs and random simplicial complexes ⋮ Topological embeddings into random 2‐complexes ⋮ Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes ⋮ Algebraic and combinatorial expansion in random simplicial complexes ⋮ The homology of random simplicial complexes in the multi-parameter upper model ⋮ Homology of multi-parameter random simplicial complexes ⋮ What Are Higher-Order Networks? ⋮ Random hypergraphs, random simplicial complexes and their Künneth-type formulae ⋮ Random Simplicial Complexes ⋮ Limit theorems for random cubical homology ⋮ Random simplicial complexes in the medial regime ⋮ Topology of random -dimensional cubical complexes

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