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Proximal and uniform convergence on apartness spaces
Author(s) -
Vîţă Luminiţa Simona
Publication year - 2003
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310025
Subject(s) - mathematics , convergence (economics) , modes of convergence (annotated index) , compact convergence , axiom , normal convergence , uniform convergence , convergence tests , weak convergence , space (punctuation) , unconditional convergence , pure mathematics , topological space , geometry , rate of convergence , computer science , topological vector space , telecommunications , channel (broadcasting) , computer security , bandwidth (computing) , isolated point , economics , asset (computer security) , economic growth , operating system
The main purpose of this paper is to investigate constructively the relationship between proximal convergence, uniform sequential convergence and uniform convergence for sequences of mappings between apartness spaces. It is also shown that if the second space satisfies the Efremovic axiom, then proximal convergence preserves strong continuity.