We provide analogous characterizations of the families of dense and of closed subobjects with respect to closure operators. The analogous behavior of hereditary and minimal closure operators with respect to the families of dense and of closed subobjects, respectively, is pointed out. We prove that, in the category of topological abelian groups, the total denseness cannot be described as denseness with respect to a closure operator.
On the classes of dense and closed subobjects
TONOLO, ALBERTO
1996
Abstract
We provide analogous characterizations of the families of dense and of closed subobjects with respect to closure operators. The analogous behavior of hereditary and minimal closure operators with respect to the families of dense and of closed subobjects, respectively, is pointed out. We prove that, in the category of topological abelian groups, the total denseness cannot be described as denseness with respect to a closure operator.File in questo prodotto:
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