Extended Ramsey theory for words representing rationals

• Autorzy: Vassiliki Farmaki , Andreas Koutsogiannis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05A05: Permutations, words, matrices
• 05A18: Partitions of sets
• 05C55: Generalized Ramsey theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 223
• Numer: 1
• Strony: 1-27

Daty

wydano

2013

Twórcy

autor

Vassiliki Farmaki

• Department of Mathematics, Athens University, Panepistemiopolis, 15784 Athens, Greece

autor

Andreas Koutsogiannis

• Department of Mathematics, Athens University, Panepistemiopolis, 15784 Athens, Greece

Identyfikatory

DOI

10.4064/fm223-1-1