A topological colorful Helly theorem

From MaRDI portal
Publication:702702

DOI10.1016/j.aim.2004.03.009zbMath1064.52008OpenAlexW2053369489MaRDI QIDQ702702

Roy Meshulam, Gil Kalai

Publication date: 17 January 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.03.009




Related Items (45)

Leray numbers of complexes of graphs with bounded matching numberA colorful theorem on transversal lines to plane convex setsIntersections of Leray complexes and regularity of monomial idealsRELATIVE LERAY NUMBERS VIA SPECTRAL SEQUENCESTopological drawings meet classical theorems from convex geometryTropical Carathéodory with matroidsLarge rainbow matchings in general graphsChoice functionsOn a rainbow extremal problem for color‐critical graphsExtensions of the colorful Helly theorem for d-collapsible and d-Leray complexesFractional Helly theorem for Cartesian products of convex setsOn Vietoris–Rips Complexes (with Scale 3) of Hypercube GraphsTopological finiteness properties of monoids. I: FoundationsNoncover complexes, independence complexes, and domination numbers of hypergraphsThe colored Hadwiger transversal theorem in \(\mathbb{R}^d\)The intersection of a matroid and an oriented matroidColorful theorems for strong convexityHelly’s theorem: New variations and applicationsNerves, minors, and piercing numbersLarge cliques in hypergraphs with forbidden substructuresDomination numbers and noncover complexes of hypergraphsA counterexample to Wegner's conjecture on good coversOn a rainbow version of Dirac's theoremA variation on the homological nerve theoremThe colorful Helly theorem and colorful resolutions of idealsDifferent versions of the nerve theorem and colourful simplicesRadon numbers and the fractional Helly theoremTverberg’s theorem is 50 years old: A surveyA geometric Hall-type theoremFunction and colorful extensions of the KKM theoremQuantitative combinatorial geometry for concave functionsCollapsibility of non-cover complexes of graphsComplexes of graphs with bounded independence numberComplexes of graphs with bounded independence numberPolarizations of powers of graded maximal idealsCooperative conditions for the existence of rainbow matchingsThe discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and TverbergDimension gaps between representability and collapsibilityNote: Combinatorial Alexander duality -- a short and elementary proofHigher nerves of simplicial complexesA Mélange of Diameter Helly-Type TheoremsChoice functions in the intersection of matroidsTopology of geometric joinsTopological Drawings Meet Classical Theorems from Convex GeometryHelly-type problems



Cites Work


This page was built for publication: A topological colorful Helly theorem