Open AccessA NOTE ON SPACES VIA DENSE SETS
Author(s) -
R. A. Mahmound,
David A. Rose
Publication year - 1993
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.24.1993.4505
Subject(s) - space (punctuation) , mathematics , function space , topological space , set (abstract data type) , pure mathematics , dual (grammatical number) , function (biology) , topology (electrical circuits) , combinatorics , computer science , art , literature , evolutionary biology , biology , programming language , operating system
Some spaces have been defined depending on the concept of dense set in a given topological space $(X , \tau)$ such as: resolvable space, irresolvable space, hcreditarily irresolvable space, and submaximal space. We study many of their properties and explore several relationships between these spaces and SMPC function which has been defined recently as a dual of the concept of precontmuity.