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Convergence Space Extensions
Author(s) -
KENT D. C.,
REED E. E.
Publication year - 1993
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1993.tb52523.x
Subject(s) - stack (abstract data type) , convergence (economics) , embedding , extension (predicate logic) , space (punctuation) , compact convergence , modes of convergence (annotated index) , convergence tests , mathematics , cauchy's convergence test , uniform convergence , computer science , calculus (dental) , pure mathematics , mathematical analysis , rate of convergence , artificial intelligence , boundary value problem , topological vector space , telecommunications , channel (broadcasting) , cauchy boundary condition , isolated point , economic growth , operating system , topological space , programming language , free boundary problem , economics , dentistry , bandwidth (computing) , medicine
. Some, but certainly not all, convergence space extensions can be obtained by completing an appropriate Caunchy structure. A more general completion theory is developed, in which “Cauchy structures” are replaced by “stack systems,” and it is shown that every convergence space extension via a dense embedding can be described as a completion derived from an appropriate stack system.