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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo

1 Issue per year


IMPACT FACTOR 2016 (Open Mathematics): 0.682
IMPACT FACTOR 2016 (Central European Journal of Mathematics): 0.489

CiteScore 2016: 0.62

SCImago Journal Rank (SJR) 2016: 0.454
Source Normalized Impact per Paper (SNIP) 2016: 0.850

Mathematical Citation Quotient (MCQ) 2016: 0.23

Open Access
Online
ISSN
2391-5455
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Volume 13, Issue 1 (Jul 2015)

Issues

On some ideal related to the ideal (v0)

Piotr Kalemba
Published Online: 2015-07-06 | DOI: https://doi.org/10.1515/math-2015-0039

Abstract

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).

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

References

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  • [2] Balcar B., Pelant J., Simon P., The space of ultrafilters on N covered by nowhere dense sets, Fund. Math., 1980, 110, 11–24 Google Scholar

  • [3] Brendle J., Strolling through paradise, Fund. Math., 1995, 148, 1–25 Google Scholar

  • [4] Halbeisen L., Making doughnuts of Cohen reals, Math. Log. Quart., 2003, 49, 173–178 Google Scholar

  • [5] Kalemba P., Plewik Sz., Wojciechowska A., On the ideal (v0), Cent. Eur. J. Math., 2008, 6, 218–227 Web of ScienceGoogle Scholar

  • [6] Plewik Sz., Ideals of nowhere Ramsey sets are isomorphic, J. Symbolic Logic,1994 , 59, 662–667 Google Scholar

  • [7] Repický M., Collapsing of cardinals in generalized Cohen’s forcing, Acta Universitatis Carolinae, Mathematica et Physica 1988, 29, 67–74 Google Scholar

About the article

Received: 2014-09-12

Accepted: 2014-04-03

Published Online: 2015-07-06


Citation Information: Open Mathematics, ISSN (Online) 2391-5455, DOI: https://doi.org/10.1515/math-2015-0039.

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©2015 Piotr Kalemba. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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