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π -mappings in l s -Ponomarev-systems

Nguyen Van Dung — 2011

Archivum Mathematicum

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.

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