On some ideal related to the ideal (v⁰)

• Autorzy: Piotr Kalemba
• Języki publikacji: EN

Abstrakty

EN

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

EN

Ideal (v0); Ideal isomorphism; Ideal type; Continuum hypothesis

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

zaakceptowano

2014-04-03

otrzymano

2014-09-12

online

2015-07-06

Twórcy

autor

Piotr Kalemba

• 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

Identyfikatory

DOI

10.1515/math-2015-0039