Stable Kneser hypergraphs and ideals in $\mathbb {N}$ with the Nikodým property

DOI10.1090/S0002-9939-08-09588-9zbMath1272.40001OpenAlexW1964863176WikidataQ116658420 ScholiaQ116658420MaRDI QIDQ3604997

Noga Alon, Drewnowski, Lech, Tomasz Łuczak

Publication date: 25 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09588-9

zbMATH Keywords

divergent serieschromatic numberKneser graphNikodým property

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Hypergraphs (05C65) Convergence and divergence of series and sequences (40A05) Coloring of graphs and hypergraphs (05C15) Density, gaps, topology (11B05)

Related Items (16)

Fair splittings by independent sets in sparse graphs ⋮ Colorings of complements of line graphs ⋮ Fair Representation by Independent Sets ⋮ Altermatic number of categorical product of graphs ⋮ Intersection patterns of finite sets and of convex sets ⋮ On the generalized Erdős-Kneser conjecture: proofs and reductions ⋮ On the chromatic number of general Kneser hypergraphs ⋮ Random Kneser graphs and hypergraphs ⋮ On nonatomic submeasures on \(\mathbb N\). II ⋮ A new lower bound for the chromatic number of general Kneser hypergraphs ⋮ Hedetniemi's conjecture for Kneser hypergraphs ⋮ `Duality' of the Nikodym property and the Hahn property: Densities defined by sequences of matrices ⋮ The chromatic number of almost stable Kneser hypergraphs ⋮ Hahn spaces in Fréchet spaces and applications to real sequence spaces ⋮ Rearrangement of conditionally convergent series on a small set ⋮ On the Multichromatic Number of s‐Stable Kneser Graphs

Cites Work

• Generalizations of the Nikodym boundedness and Vitali--Hahn--Saks theorems
• Generalized Kneser coloring theorems with combinatorial proofs
• The Chromatic Number of Kneser Hypergraphs
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
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