Displaying similar documents to “Strong remote points.”

Strong remote points

Sergei Logunov (2002)

Commentationes Mathematicae Universitatis Carolinae

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Remote points constructed so far are actually strong remote. But we construct remote points of another type.

On π -metrizable spaces, their continuous images and products

Derrick Stover (2009)

Commentationes Mathematicae Universitatis Carolinae

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A space X is said to be π -metrizable if it has a σ -discrete π -base. The behavior of π -metrizable spaces under certain types of mappings is studied. In particular we characterize strongly d -separable spaces as those which are the image of a π -metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a π -metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a π -metrizable topological group must be metrizable...