Consistently P(ω 1) is the union of less than 2ℵ1 strongly independent families

Péter Komjáth; Saharon Shelah

doi:10.1007/s11856-017-1463-5

Consistently P(ω ₁) is the union of less than ^2ℵ1 strongly independent families

Péter Komjáth^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

It is consistent that P(ω₁) is the union of less than 2ℵ1 parts such that if A₀,.., A_n−1, B₀,.., B_m−1 are distinct elements of the same part, then |A₀ ∩ · · · ∩ A_n−1 ∩ (ω₁ − B₀) ∩ · · ·∩ (ω₁ − B_m−1)| = N₁.

Original language	English
Pages (from-to)	165-173
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	218
Issue number	1
DOIs	https://doi.org/10.1007/s11856-017-1463-5
State	Published - 1 Mar 2017

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Publisher Copyright:
© 2017, Hebrew University of Jerusalem.

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abstract = "It is consistent that P(ω1) is the union of less than 2ℵ1 parts such that if A0,.., An−1, B0,.., Bm−1 are distinct elements of the same part, then |A0 ∩ · · · ∩ An−1 ∩ (ω1 − B0) ∩ · · ·∩ (ω1 − Bm−1)| = N1.",

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Consistently P(ω ₁) is the union of less than ^2ℵ1 strongly independent families

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