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Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society
Article . 1994 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1994 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Ramsey-Theory and Forcing Extensions

Ramsey-theory and forcing extensions
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1994Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 121, page 217 (issn: 0002-9939, Copyright policy )
Authors: Komjáth, Péter;

doi: 10.2307/2160385 , 10.1090/s0002-9939-1994-1169039-2

Ramsey-Theory and Forcing Extensions

Abstract

In every forcing extension of every model of set theory by a nontrivial (set) forcing there exist a graph Y and a cardinal μ \mu , such that every graph has an edge coloring with μ \mu . colors with no monochromatic induced copy of Y.

Keywords

Ramsey theory of graphs, Generalized Ramsey theory, Consistency and independence results, Other combinatorial set theory, set forcing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze