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On Volterra Spaces II
Author(s) -
GAULD DAVID,
GREENWOOD SINA,
PIOTROWSKI ZBIGNIEW
Publication year - 1996
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.1749-6632.1996.tb49167.x
Subject(s) - set (abstract data type) , volterra equations , mathematics , space (punctuation) , pure mathematics , topological space , point (geometry) , volterra integral equation , topology (electrical circuits) , mathematical analysis , discrete mathematics , physics , combinatorics , computer science , nonlinear system , integral equation , geometry , quantum mechanics , programming language , operating system
We say that a topological space X is Volterra if for each pair f, g: X →ℝ for which the sets of points at which f , respectively g , are continuous are dense, there is a common point of continuity; and X is strongly Volterra if in the same circumstances the set of common points of continuity is dense in X . For both of these concepts equivalent conditions are given and the situation involving more than two functions is explored.