The law of large numbers for the bigraded Betti numbers of a random simplicial complex

DOI10.1070/RM9936zbMath1473.55012arXiv2001.02105OpenAlexW2998961566WikidataQ114849637 ScholiaQ114849637MaRDI QIDQ4992049

Vlada Limic, Djordje Baralić

Publication date: 4 June 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02105

zbMATH Keywords

Betti numbersrandom simplicial complexrandom moment angle complex

Mathematics Subject Classification ID

Strong limit theorems (60F15) Simplicial sets and complexes in algebraic topology (55U10) Algebraic topology of manifolds (57N65) Combinatorial aspects of simplicial complexes (05E45) PL-topology (57Q99) Toric topology (57S12)

Cites Work

• Homological connectivity of random k -dimensional complexes
• Cohomology ofK-powers of spaces and the combinatorics of simplicial divisions
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