A note on sequence-covering $\pi $-images of metric spaces

Zhaowen Li; Tusheng Xie

Displaying similar documents to “A note on sequence-covering $π$ -images of metric spaces”

On Sequence-covering mssc-images of Locally Separable Metric Spaces

Nguyen Van Dung (2010)

Publications de l'Institut Mathématique

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$π$ -mappings in $l s$ -Ponomarev-systems

Nguyen Van Dung (2011)

Archivum Mathematicum

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We use the $l s$ -Ponomarev-system $(f, M, X, {𝒫_{λ, n}})$ , where $M$ is a locally separable metric space, to give a consistent method to construct a $π$ -mapping (compact mapping) with covering-properties from a locally separable metric space $M$ onto a space $X$ . As applications of these results, we systematically get characterizations of certain $π$ -images (compact images) of locally separable metric spaces.