@techreport{adb1570398c54d8696be7d72cd3c3dc3,

title = "Minimally almost periodic group topology on infinite countable Abelian groups: A solution to Comfort's question",

abstract = " For any countable subgroup $H$ of an unbounded Abelian group $G$ there is a complete Hausdorff group topology $\tau$ such that $H$ is the von Neumann radical of $(G,\tau)$. In particular, we obtain the positive answer to Comfort's question: any unbounded countable Abelian group admits a complete Hausdorff minimally almost periodic (MinAP) group topology. A bounded infinite Abelian group admits a MinAP group topology if and only if all its leading Ulm-Kaplansky invariants are infinite. If, in addition, $G$ is countably infinite, a MinAP group topology can be chosen to be complete. ",

keywords = "math.GR, math.GN, 22A10, 43A40, 54H11",

author = "Gabriyelyan, {S. S.}",

year = "2010",

language = "???core.languages.en_GB???",

series = "Arxiv preprint",

edition = " arXiv:1002.1468 [math.GR]",

type = "WorkingPaper",

}