Extensions of the colorful Helly theorem for d-collapsible and d-Leray complexes
From MaRDI portal
Publication:6131055
DOI10.1017/fms.2024.23arXiv2305.12360OpenAlexW4393630255MaRDI QIDQ6131055
Publication date: 4 April 2024
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.12360
Simplicial sets and complexes in algebraic topology (55U10) Helly-type theorems and geometric transversal theory (52A35) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
- Unnamed Item
- A generalisation of Tverberg's theorem
- Projective equivalences of \(k\)-neighbourly polytopes
- Tverberg partitions of points on the moment curve
- Topological transversals to a family of convex sets
- A topological colorful Helly theorem
- Intersections of Leray complexes and regularity of monomial ideals
- A generalization of Caratheodory's theorem
- d-collapsing and nerves of families of convex sets
- Tverberg's theorem via number fields
- Cooperative conditions for the existence of rainbow matchings
- Very colorful theorems
- A note on the Tolerant Tverberg Theorem
- An extension of Radon's theorem
- The intersection of a matroid and a simplicial complex
- Colourful Linear Programming and its Relatives
- Robust Tverberg and Colourful Carathéodory Results via Random Choice
- ALGORITHMS FOR TOLERANT TVERBERG PARTITIONS
- A Generalization of Radon's Theorem
- d-collapsibility is NP-complete for d greater or equal to 4
- On Sets Projectively Equivalent to the Vertices of a Convex Polytope
- Leray numbers of tolerance complexes
This page was built for publication: Extensions of the colorful Helly theorem for d-collapsible and d-Leray complexes
