Cardinal invariants above the continuum

James Cummings; Saharon Shelah

doi:10.1016/0168-0072(95)00003-Y

Cardinal invariants above the continuum

James Cummings^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

47 Scopus citations

Abstract

We prove some consistency results about b(λ) and δ(λ), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants b_cl(λ) and δ_cl(λ), and prove that almost always b(λ) = b_cl(λ) and d(λ) = d_cl(λ).

Original language	English
Pages (from-to)	251-268
Number of pages	18
Journal	Annals of Pure and Applied Logic
Volume	75
Issue number	3
DOIs	https://doi.org/10.1016/0168-0072(95)00003-Y
State	Published - 27 Oct 1995

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title = "Cardinal invariants above the continuum",

abstract = "We prove some consistency results about b(λ) and δ(λ), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants bcl(λ) and δcl(λ), and prove that almost always b(λ) = bcl(λ) and d(λ) = dcl(λ).",

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AU - Shelah, Saharon

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N2 - We prove some consistency results about b(λ) and δ(λ), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants bcl(λ) and δcl(λ), and prove that almost always b(λ) = bcl(λ) and d(λ) = dcl(λ).

AB - We prove some consistency results about b(λ) and δ(λ), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants bcl(λ) and δcl(λ), and prove that almost always b(λ) = bcl(λ) and d(λ) = dcl(λ).

UR - https://www.scopus.com/pages/publications/0007423380

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AN - SCOPUS:0007423380

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VL - 75

SP - 251

EP - 268

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 3

ER -

Cardinal invariants above the continuum

Abstract

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