Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
Ramsey theory for words over a finite alphabet was unified in the work of Carlson, who also presented a method to extend the theory to words over an infinite alphabet, but subject to a fixed dominating principle. In the present work we establish an extension of Carlson's approach to countable ordinals and Schreier-type families developing an extended Ramsey theory for dominated words over a doubly infinite alphabet (in fact for ω-ℤ*-located words), and we apply this theory, exploiting the Budak-Işik-Pym representation of rational numbers, to obtain an analogous partition theory for the set of rational numbers.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
1-27
Opis fizyczny
Daty
wydano
2013
Twórcy
autor
- Department of Mathematics, Athens University, Panepistemiopolis, 15784 Athens, Greece
autor
- Department of Mathematics, Athens University, Panepistemiopolis, 15784 Athens, Greece
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm223-1-1