Open AccessQuantale-valued convergence tower spaces: Diagonal axioms and continuous extension
Author(s) -
Gunther Jäger
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111801j
Subject(s) - mathematics , axiom , extension (predicate logic) , diagonal , convergence (economics) , tower , subspace topology , modes of convergence (annotated index) , pure mathematics , compact convergence , mathematical analysis , rate of convergence , geometry , topological space , topological vector space , channel (broadcasting) , civil engineering , computer science , isolated point , engineering , economics , programming language , economic growth , electrical engineering
We generalize a result on continuous extension of a mapping on a dense subspace from the category of convergence spaces to the category of quantale-valued convergence tower spaces. To this end, we introduce and study diagonal axioms which characterize topologicalness and regularity for quantalevalued convergence tower spaces.