Warianty tytułu
Języki publikacji
Abstrakty
The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
Daty
zaakceptowano
2014-04-03
otrzymano
2014-09-12
online
2015-07-06
Twórcy
autor
- Institute of Mathematics, University of Silesia in Katowice, Poland
Bibliografia
- [1] Balcar B., Hernández-Hernández F., Hrušák M., Combinatorics of dense subsets of the rationals, Fund. Math., 2004, 183, 59–80
- [2] Balcar B., Pelant J., Simon P., The space of ultrafilters on N covered by nowhere dense sets, Fund. Math., 1980, 110, 11–24
- [3] Brendle J., Strolling through paradise, Fund. Math., 1995, 148, 1–25
- [4] Halbeisen L., Making doughnuts of Cohen reals, Math. Log. Quart., 2003, 49, 173–178
- [5] Kalemba P., Plewik Sz., Wojciechowska A., On the ideal (v0), Cent. Eur. J. Math., 2008, 6, 218–227 [WoS]
- [6] Plewik Sz., Ideals of nowhere Ramsey sets are isomorphic, J. Symbolic Logic,1994 , 59, 662–667
- [7] Repický M., Collapsing of cardinals in generalized Cohen’s forcing, Acta Universitatis Carolinae, Mathematica et Physica 1988, 29, 67–74
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2015-0039