arXiv:math/9908157 Abstract

arXiv:math/9908157 [math.LO]Abstract References Reviews Resources

A non-reflexive Whitehead group

Published 1999-08-29Version 1

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.

Categories: math.LO, math.AC, math.RA

Subjects: 20K35, 20K20, 03E35, 03E75, 13L05, 18G15, 55N10

Keywords: non-reflexive whitehead group, consistent, co-moore spaces, dual group

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