Displaying similar documents to “On π -images of locally separable metric spaces.”

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.

Notes on c f p -covers

Shou Lin, Peng Fei Yan (2003)

Commentationes Mathematicae Universitatis Carolinae

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The main purpose of this paper is to establish general conditions under which T 2 -spaces are compact-covering images of metric spaces by using the concept of c f p -covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of g -metrizable spaces by compact-covering σ -maps and m s s c -maps.