We study total C-denseness, for a closure operator C, in a large class of categories. We give necessary and sufficient conditions for total C- denseness to be a denseness with respect to a suitable closure operator. Examples and applications in the categories of abstract modules, abelian groups, topological abelian groups and topological spaces are given.
Total C-denseness
TONOLO, ALBERTO
1996
Abstract
We study total C-denseness, for a closure operator C, in a large class of categories. We give necessary and sufficient conditions for total C- denseness to be a denseness with respect to a suitable closure operator. Examples and applications in the categories of abstract modules, abelian groups, topological abelian groups and topological spaces are given.
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