On Topologies on the Group $(\Z_p)^{\N}$

Autor:	Babenko, I. K., Bogatyi, S. A.
Rok vydání:	2016
Předmět:	Mathematics - Group Theory 20K25 22A05 22B99
Druh dokumentu:	Working Paper
Popis:	It is proved that, on any Abelian group of infinite cardinality ${\bf m}$, there exist precisely $2^{2^{\bf m}}$ nonequivalent bounded Hausdorff group topologies. Under the continuum hypothesis, the number of nonequivalent compact and locally compact Hausdorff group topologies on the group $(\Z_p)^{\N}$ is determined. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1610.00046 Zobrazit plný text záznamu View this record from Arxiv