On strongly-non-reflexive groups

Paul C. Eklof; Alan H. Mekler; Saharon Shelah

doi:10.1007/BF02774142

On strongly-non-reflexive groups

Paul C. Eklof^*, Alan H. Mekler, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

22 Scopus citations

Abstract

A strong negative answer is given to the old question of whether every dual group is reflexive. Using {lozenge, open}_ω1 a group A is constructed so that A, A*, A**, and A*** are weakly ω₁-separable groups of cardinality ω₁ and A* is not isomorphic to A***.

Original language	English
Pages (from-to)	283-298
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	59
Issue number	3
DOIs	https://doi.org/10.1007/BF02774142
State	Published - Oct 1987

Access to Document

10.1007/BF02774142

Cite this

@article{490d14f6f62549358087d9ec76091608,

title = "On strongly-non-reflexive groups",

abstract = "A strong negative answer is given to the old question of whether every dual group is reflexive. Using {lozenge, open}ω1 a group A is constructed so that A, A*, A**, and A*** are weakly ω1-separable groups of cardinality ω 1 and A* is not isomorphic to A***.",

author = "Eklof, {Paul C.} and Mekler, {Alan H.} and Saharon Shelah",

year = "1987",

month = oct,

doi = "10.1007/BF02774142",

language = "אנגלית",

volume = "59",

pages = "283--298",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - On strongly-non-reflexive groups

AU - Eklof, Paul C.

AU - Mekler, Alan H.

AU - Shelah, Saharon

PY - 1987/10

Y1 - 1987/10

N2 - A strong negative answer is given to the old question of whether every dual group is reflexive. Using {lozenge, open}ω1 a group A is constructed so that A, A*, A**, and A*** are weakly ω1-separable groups of cardinality ω 1 and A* is not isomorphic to A***.

AB - A strong negative answer is given to the old question of whether every dual group is reflexive. Using {lozenge, open}ω1 a group A is constructed so that A, A*, A**, and A*** are weakly ω1-separable groups of cardinality ω 1 and A* is not isomorphic to A***.

UR - http://www.scopus.com/inward/record.url?scp=51249173053&partnerID=8YFLogxK

U2 - 10.1007/BF02774142

DO - 10.1007/BF02774142

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

AN - SCOPUS:51249173053

SN - 0021-2172

VL - 59

SP - 283

EP - 298

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3

ER -

On strongly-non-reflexive groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this