On finite powers of countably compact groups

Artur Hideyuki Tomita

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Displaying similar documents to “On finite powers of countably compact groups”

Complete $ℵ_{0}$ -bounded groups need not be $ℝ$ -factorizable

Mihail G. Tkachenko (2001)

Commentationes Mathematicae Universitatis Carolinae

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We present an example of a complete $ℵ_{0}$ -bounded topological group $H$ which is not $ℝ$ -factorizable. In addition, every $G_{δ}$ -set in the group $H$ is open, but $H$ is not Lindelöf.

On monotone Lindelöfness of countable spaces

Ronnie Levy, Mikhail Matveev (2008)

Commentationes Mathematicae Universitatis Carolinae

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A space is monotonically Lindelöf (mL) if one can assign to every open cover $𝒰$ a countable open refinement $r (𝒰)$ so that $r (𝒰)$ refines $r (𝒱)$ whenever $𝒰$ refines $𝒱$ . We show that some countable spaces are not mL, and that, assuming CH, there are countable mL spaces that are not second countable.

Displaying similar documents to “On finite powers of countably compact groups”

Complete ℵ 0 -bounded groups need not be ℝ -factorizable

On monotone Lindelöfness of countable spaces

Complete $ℵ_{0}$ -bounded groups need not be $ℝ$ -factorizable