The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 3 Issue 1
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- Pages.33-40
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- 1996
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
PRETOPOLOGICAL CONVERGENCE QUOTIENT MAPS
- Park, Sang-Ho (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
- Published : 1996.06.01
Abstract
A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)
Keywords
- convergence space(structure);
- convergence quotient map;
- pretopological( topological) convergence quotient map