Groupwise density cannot be much bigger than the unbounded number

Saharon Shelah

doi:10.1002/malq.200710032

Groupwise density cannot be much bigger than the unbounded number

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

We prove that g (the groupwise density number) is smaller or equal to b⁺, the successor of the minimal cardinality of an unbounded subset of ^ωω. This is true even for the version of g for groupwise dense ideals.

Original language	English
Pages (from-to)	340-344
Number of pages	5
Journal	Mathematical Logic Quarterly
Volume	54
Issue number	4
DOIs	https://doi.org/10.1002/malq.200710032
State	Published - Jul 2008

Keywords

Cardinal characteristics of the continuum
Groupwise density
Unbounded number

Access to Document

10.1002/malq.200710032

Cite this

@article{d34fcb5ea46a4e999d1012e7c7cb6480,

title = "Groupwise density cannot be much bigger than the unbounded number",

abstract = "We prove that g (the groupwise density number) is smaller or equal to b+, the successor of the minimal cardinality of an unbounded subset of ωω. This is true even for the version of g for groupwise dense ideals.",

keywords = "Cardinal characteristics of the continuum, Groupwise density, Unbounded number",

author = "Saharon Shelah",

year = "2008",

month = jul,

doi = "10.1002/malq.200710032",

language = "אנגלית",

volume = "54",

pages = "340--344",

journal = "Mathematical Logic Quarterly",

issn = "0942-5616",

publisher = "Wiley-VCH Verlag",

number = "4",

}

TY - JOUR

T1 - Groupwise density cannot be much bigger than the unbounded number

AU - Shelah, Saharon

PY - 2008/7

Y1 - 2008/7

N2 - We prove that g (the groupwise density number) is smaller or equal to b+, the successor of the minimal cardinality of an unbounded subset of ωω. This is true even for the version of g for groupwise dense ideals.

AB - We prove that g (the groupwise density number) is smaller or equal to b+, the successor of the minimal cardinality of an unbounded subset of ωω. This is true even for the version of g for groupwise dense ideals.

KW - Cardinal characteristics of the continuum

KW - Groupwise density

KW - Unbounded number

UR - http://www.scopus.com/inward/record.url?scp=55449089724&partnerID=8YFLogxK

U2 - 10.1002/malq.200710032

DO - 10.1002/malq.200710032

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:55449089724

SN - 0942-5616

VL - 54

SP - 340

EP - 344

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - 4

ER -

Groupwise density cannot be much bigger than the unbounded number

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this