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On weak-open π -images of metric spaces

Zhaowen Li — 2006

Czechoslovak Mathematical Journal

In this paper, we give some characterizations of metric spaces under weak-open π -mappings, which prove that a space is g -developable (or Cauchy) if and only if it is a weak-open π -image of a metric space.

Spaces with σ -locally countable weak-bases

Zhaowen Li — 2006

Archivum Mathematicum

In this paper, spaces with σ -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or g -first countable spaces with σ -locally countable c s -networks).

When doL-fuzzy ideals of a ring generate a distributive lattice?

Ninghua GaoQingguo LiZhaowen Li — 2016

Open Mathematics

The notion of L-fuzzy extended ideals is introduced in a Boolean ring, and their essential properties are investigated. We also build the relation between an L-fuzzy ideal and the class of its L-fuzzy extended ideals. By defining an operator “⇝” between two arbitrary L-fuzzy ideals in terms of L-fuzzy extended ideals, the result that “the family of all L-fuzzy ideals in a Boolean ring is a complete Heyting algebra” is immediately obtained. Furthermore, the lattice structures of L-fuzzy extended...

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