预紧非紧自反阿贝尔群
Precompact noncompact reflexive abelian groups
摘要：
给出了一系列预紧、非紧、自反的拓扑阿贝尔群的例子。其中有些群是伪紧的，甚至是可数紧的，但我们证明了也存在预紧的非伪紧自反群。证明了每个伪紧阿贝尔群都是自反伪紧群关于闭自反伪紧子群的商。
英文摘要：
We present a series of examples of precompact, noncompact, reflexive topological Abelian groups. Some of them are pseudocompact or even countably compact, but we show that there exist precompact non-pseudocompact reflexive groups as well. It is also proved that every pseudocompact Abelian group is a quotient of a reflexive pseudocompact group with respect to a closed reflexive pseudocompact subgroup.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
