Skip to main content
Fundamenta MathematicaeVolume 166, Issue 3, 2001, Pages 251-267

A dichotomy for P-ideals of countable sets(Article)

  Save all to author list
  • Université Paris 7, C.N.R.S., UPRESA 7056, 2, Place Jussieu, 72251 Paris Cedex 05, France

Abstract

A dichotomy concerning ideals of countable subsets of some set is introduced and proved compatible with the Continuum Hypothesis. The dichotomy has influence not only on the Suslin Hypothesis or the structure of Hausdorff gaps in the quotient algebra P(ℕ)/fin but also on some higher order statements like for example the existence of Jensen square sequences.

  • ISSN: 00162736
  • Source Type: Journal
  • Original language: English
  • Document Type: Article

  Todorčević, S.; Université Paris 7, C.N.R.S., UPRESA 7056, 2, Place Jussieu, France;
© Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.

Cited by 51 documents

Guzmán, O. , Todorcevic, S.
The P-ideal dichotomy, Martin’s axiom and entangled sets
(2024) Israel Journal of Mathematics
Todorcevic, S.
P-ideal dichotomy and Tukey order
(2024) Fundamenta Mathematicae
Nyikos, P. , Zdomskyy, L.
Locally compact, ω1-compact spaces
(2024) Annals of Pure and Applied Logic
View details of all 51 citations
Inform me when this document is cited in Scopus:
Set citation alert Set citation feed
{"topic":{"name":"Inner Model; Supercompact Cardinal; Descriptive Set Theory","id":5566,"uri":"Topic/5566","prominencePercentile":67.6175,"prominencePercentileString":"67.618","overallScholarlyOutput":0},"dig":"e38cc8487e1b196a7d8bc367a6cfb48fd9a1a0f6fdff244006433a0b2a5e829f"}

SciVal Topic Prominence

Topic:
Prominence percentile: