Stable Kneser hypergraphs and ideals in ℕ with the nikodým property

Noga Alon; Lech Drewnowski; Tomasz Łuczak

doi:10.1090/S0002-9939-08-09588-9

Stable Kneser hypergraphs and ideals in ℕ with the nikodým property

Noga Alon, Lech Drewnowski, Tomasz Łuczak

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We use stable Kneser hypergraphs to construct ideals in ℕ which are not nonatomic yet have the Nikodým property.

Original language	English (US)
Pages (from-to)	467-471
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-08-09588-9
State	Published - Feb 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Chromatic number
Divergent series
Kneser graph
Nikodým property

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10.1090/S0002-9939-08-09588-9

Cite this

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title = "Stable Kneser hypergraphs and ideals in ℕ with the nikod{\'y}m property",

abstract = "We use stable Kneser hypergraphs to construct ideals in ℕ which are not nonatomic yet have the Nikod{\'y}m property.",

keywords = "Chromatic number, Divergent series, Kneser graph, Nikod{\'y}m property",

author = "Noga Alon and Lech Drewnowski and Tomasz {\L}uczak",

year = "2009",

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doi = "10.1090/S0002-9939-08-09588-9",

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AU - Alon, Noga

AU - Drewnowski, Lech

AU - Łuczak, Tomasz

PY - 2009/2

Y1 - 2009/2

N2 - We use stable Kneser hypergraphs to construct ideals in ℕ which are not nonatomic yet have the Nikodým property.

AB - We use stable Kneser hypergraphs to construct ideals in ℕ which are not nonatomic yet have the Nikodým property.

KW - Chromatic number

KW - Divergent series

KW - Kneser graph

KW - Nikodým property

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Stable Kneser hypergraphs and ideals in ℕ with the nikodým property

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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