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- Title
FURTHER RESULTS ON IMAGES OF METRIC SPACES.
- Authors
Van Dung, Nguyen
- Abstract
We introduce the notion of an ls-π-Ponomarev-system to give necessary and sufficient conditions for f : (M,M0) → X to be a strong wc- mapping (wc-mapping, wk-mapping) where M is a locally separable metric space. Then, we systematically get characterizations of weakly continuous strong wc-images (wc-images, wk-images) of locally separable metric spaces by means of certain networks. Also, we give counterexamples to sharpen some results on images of locally separable metric spaces in the literature.
- Subjects
METRIC spaces; MATHEMATICAL literature; HAUSDORFF spaces; MATHEMATICS theorems; SET theory
- Publication
Publications de l'Institut Mathématique, 2015, Vol 98, Issue 112, p179
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM150219022D