Leray numbers of projections and a topological Helly-type theorem

DOI10.1112/jtopol/jtn010zbMath1148.55014arXiv0704.0277OpenAlexW2009820254MaRDI QIDQ3524102

Gil Kalai, Roy Meshulam

Publication date: 8 September 2008

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

Full work available at URL: https://arxiv.org/abs/0704.0277

zbMATH Keywords

Helly numbertopological Helly-type theoremrational Leray number

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Helly-type theorems and geometric transversal theory (52A35)

Related Items (12)

Leray numbers of complexes of graphs with bounded matching number ⋮ Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry ⋮ RELATIVE LERAY NUMBERS VIA SPECTRAL SEQUENCES ⋮ Bounding Helly Numbers via Betti Numbers ⋮ Colorful theorems for strong convexity ⋮ Helly’s theorem: New variations and applications ⋮ Nerves, minors, and piercing numbers ⋮ Helly numbers of acyclic families ⋮ A new topological Helly theorem and some transversal results ⋮ Prime graphs, matchings and the Castelnuovo-Mumford regularity ⋮ Contraction and expansion of convex sets ⋮ Helly-type problems

Cites Work

• Unnamed Item
• Intersections of Leray complexes and regularity of monomial ideals
• d-collapsing and nerves of families of convex sets
• A short proof of an interesting Helly-type theorem
• On Components in Some Families of Sets
• Semi-Simplicial Resolutions and Homology of Images and Discriminants of Mappings

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