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A topological colorful Helly theorem

Article ID Journal Published Year Pages File Type
9518107 Advances in Mathematics 2005 7 Pages PDF
Abstract
Theorem.LetXbe ad-Leray complex on the vertex setV. Suppose M is a matroidal complex on the same vertex setVwith rank functionρ. IfM⊂Xthen there exists a simplexτ∈Xsuch thatρ(V−τ)⩽d.
Keywords
13F5552A35Helly's TheoremSimplicial homology
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
A topological colorful Helly theorem
Authors
Gil Kalai, Roy Meshulam,
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Journal
Advances in Mathematics
Journal: Advances in Mathematics
Related Categories
13F55
52A35
Helly's Theorem
Simplicial homology
Algebra and Number Theory
Analysis
Applied Mathematics
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