Every null-additive set is meager-additive

Saharon Shelah

doi:10.1007/BF02808209

Every null-additive set is meager-additive

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

13 Scopus citations

Abstract

It is proved that every null-additive subset of^ω2 is meager-additive. Several characterizations of the null-additive subsets of^ω2 are given, as well as a characterization of the meager additive subsets of^ω2. Under CH, an uncountable null-additive subset of^ω2 is constructed.

Original language	English
Pages (from-to)	357-376
Number of pages	20
Journal	Israel Journal of Mathematics
Volume	89
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02808209
State	Published - Oct 1995

Access to Document

10.1007/BF02808209

Cite this

@article{357cc5dd0db4493883651214956c3290,

title = "Every null-additive set is meager-additive",

abstract = "It is proved that every null-additive subset ofω2 is meager-additive. Several characterizations of the null-additive subsets ofω2 are given, as well as a characterization of the meager additive subsets ofω2. Under CH, an uncountable null-additive subset ofω2 is constructed.",

author = "Saharon Shelah",

year = "1995",

month = oct,

doi = "10.1007/BF02808209",

language = "אנגלית",

volume = "89",

pages = "357--376",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1-3",

}

TY - JOUR

T1 - Every null-additive set is meager-additive

AU - Shelah, Saharon

PY - 1995/10

Y1 - 1995/10

N2 - It is proved that every null-additive subset ofω2 is meager-additive. Several characterizations of the null-additive subsets ofω2 are given, as well as a characterization of the meager additive subsets ofω2. Under CH, an uncountable null-additive subset ofω2 is constructed.

AB - It is proved that every null-additive subset ofω2 is meager-additive. Several characterizations of the null-additive subsets ofω2 are given, as well as a characterization of the meager additive subsets ofω2. Under CH, an uncountable null-additive subset ofω2 is constructed.

UR - https://www.scopus.com/pages/publications/51249162267

U2 - 10.1007/BF02808209

DO - 10.1007/BF02808209

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

AN - SCOPUS:51249162267

SN - 0021-2172

VL - 89

SP - 357

EP - 376

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-3

ER -

Every null-additive set is meager-additive

Abstract

Access to Document

Other files and links

Fingerprint

Cite this