非自反的Whitehead群
A non-reflexive Whitehead group
摘要:
我们证明了存在一个非自反的Whitehead群是相容的,实际上它的对偶群是自由的。我们还证明了存在群A使得Ext(A,Z)是挠的且Hom(A,Z)=0是相容的.作为应用,我们证明了新的co-Moore空间存在性的一致性。
英文摘要:
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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