On nice equivalence relations on λ2

Saharon Shelah

doi:10.1007/s00153-003-0183-1

On nice equivalence relations on ^λ2

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.

Original language	English
Pages (from-to)	31-64
Number of pages	34
Journal	Archive for Mathematical Logic
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/s00153-003-0183-1
State	Published - Jan 2004

Keywords

Abelian group
Definable equivalence relation
Ext
Generalized descriptive set theory to uncountable cardinals
Perfect sets of pairwise non equivalence
Set theory

Access to Document

10.1007/s00153-003-0183-1

Cite this

@article{604944d228e14cecb2db1cafc3f681f7,

title = "On nice equivalence relations on λ2",

abstract = "Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.",

keywords = "Abelian group, Definable equivalence relation, Ext, Generalized descriptive set theory to uncountable cardinals, Perfect sets of pairwise non equivalence, Set theory",

author = "Saharon Shelah",

year = "2004",

month = jan,

doi = "10.1007/s00153-003-0183-1",

language = "אנגלית",

volume = "43",

pages = "31--64",

journal = "Archive for Mathematical Logic",

issn = "0933-5846",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - On nice equivalence relations on λ2

AU - Shelah, Saharon

PY - 2004/1

Y1 - 2004/1

N2 - Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.

AB - Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.

KW - Abelian group

KW - Definable equivalence relation

KW - Ext

KW - Generalized descriptive set theory to uncountable cardinals

KW - Perfect sets of pairwise non equivalence

KW - Set theory

UR - https://www.scopus.com/pages/publications/1342290246

U2 - 10.1007/s00153-003-0183-1

DO - 10.1007/s00153-003-0183-1

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

AN - SCOPUS:1342290246

SN - 0933-5846

VL - 43

SP - 31

EP - 64

JO - Archive for Mathematical Logic

JF - Archive for Mathematical Logic

IS - 1

ER -

On nice equivalence relations on ^λ2

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this