Further results on images of metric spaces | Zendy

Nguyen Van Dũng | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Further results on images of metric spaces

Author(s) -

Nguyen Van Dũng

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim150219022d

Subject(s) - separable space , metric space , counterexample , metric (unit) , mathematics , convex metric space , injective metric space , uniform continuity , space (punctuation) , metric map , pure mathematics , discrete mathematics , mathematical analysis , computer science , operations management , economics , operating system

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research