On a result of Szemerédi
Autor: | Albin L. Jones |
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Rok vydání: | 2008 |
Předmět: |
Discrete mathematics
Successor cardinal Regular cardinal cardinal numbers Logic Cardinal number Ramsey theory Limit ordinal Natural number polarized partitions Aleph number pseudo-intersection number Cardinal function ordinal numbers Combinatorics 05A18 Philosophy filter bases 03E05 05D10 Mathematics |
Zdroj: | J. Symbolic Logic 73, iss. 3 (2008), 953-956 |
ISSN: | 1943-5886 0022-4812 |
DOI: | 10.2178/jsl/1230396758 |
Popis: | We provide a short proof that if κ is a regular cardinal with κ < c, thenfor any ordinal α < min{, κ}. In particular,for any ordinal α < . This generalizes an unpublished result of E. Szemerédi that Martin's axiom implies thatfor any cardinal κ with κ < c. |
Databáze: | OpenAIRE |
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