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

I. K. Babenko; S. A. Bogatyi

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arXiv · 1610.00046

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

I. K. Babenko·S. A. Bogatyi

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Abstract

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.

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BibTeX RIS

I. K. Babenko, S. A. Bogatyi. 2016-09-30. On Topologies on the Group $(\Z_p)^{\N}$. https://arxiv.org/abs/1610.00046

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