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
AbstractKaplansky density theorem is extremely useful in dealing with *-algebras of operators. This ...
summary:It is consistent with the axioms of set theory that there are two co-dense partial orders, o...
summary:Among cocomplete categories, the locally presentable ones can be defined as those with a str...
We study total C-denseness, for a closure operator C, in a large class of categories. We give necess...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
-open sets were introduced and studied by Jankovic ́ and Hamlett (1990) to generalize the well-known...
summary:A DC-space (or space of dense constancies) is a Tychonoff space $X$ such that for each $f\in...
AbstractI discuss connections between equilogical spaces and total and dense objects in domain theor...
Abstract. Given a monad T on a suitable enriched category B equipped with a proper factorization sys...
Abstract Notions of strongly and absolutely closed objects with respect to a closure operator C on a...
Abstract. In this paper, concepts of various forms of dense sets and nowhere dense sets in generaliz...
We investigate domains with totality where density in general does not hold. We define three categor...
AbstractThe main result of this paper is a characterization of the space induced by Scott topology o...
AbstractKaplansky density theorem is extremely useful in dealing with *-algebras of operators. This ...
summary:It is consistent with the axioms of set theory that there are two co-dense partial orders, o...
summary:Among cocomplete categories, the locally presentable ones can be defined as those with a str...
We study total C-denseness, for a closure operator C, in a large class of categories. We give necess...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
-open sets were introduced and studied by Jankovic ́ and Hamlett (1990) to generalize the well-known...
summary:A DC-space (or space of dense constancies) is a Tychonoff space $X$ such that for each $f\in...
AbstractI discuss connections between equilogical spaces and total and dense objects in domain theor...
Abstract. Given a monad T on a suitable enriched category B equipped with a proper factorization sys...
Abstract Notions of strongly and absolutely closed objects with respect to a closure operator C on a...
Abstract. In this paper, concepts of various forms of dense sets and nowhere dense sets in generaliz...
We investigate domains with totality where density in general does not hold. We define three categor...
AbstractThe main result of this paper is a characterization of the space induced by Scott topology o...
AbstractKaplansky density theorem is extremely useful in dealing with *-algebras of operators. This ...
summary:It is consistent with the axioms of set theory that there are two co-dense partial orders, o...
summary:Among cocomplete categories, the locally presentable ones can be defined as those with a str...
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