A non-reflexive Whitehead group

Paul C. Eklof; Saharon Shelah

doi:10.1016/S0022-4049(99)00152-8

A non-reflexive Whitehead group

Paul C. Eklof^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

21 Scopus citations

Abstract

We prove that it is consistent that there is a non-reflexive Whitehead group, in fact one whose dual group is free. We also prove that it is consistent that there is a group A such that Ext(A,Z) is torsion and Hom(A,Z)=0. As an application we show the consistency of the existence of new co-Moore spaces.

Original language	English
Pages (from-to)	199-214
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	156
Issue number	2-3
DOIs	https://doi.org/10.1016/S0022-4049(99)00152-8
State	Published - 23 Feb 2001

Keywords

03E35
03E75
18G15
20K20
55N10
Primary 20K35
Secondary 13L05

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10.1016/S0022-4049(99)00152-8

Cite this

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AB - We prove that it is consistent that there is a non-reflexive Whitehead group, in fact one whose dual group is free. We also prove that it is consistent that there is a group A such that Ext(A,Z) is torsion and Hom(A,Z)=0. As an application we show the consistency of the existence of new co-Moore spaces.

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A non-reflexive Whitehead group

Abstract

Keywords

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