Disjunctions in closure spaces
Copyright policy )Disjunctions in closure spaces
This paper is the continuation of the author's investigations on closure spaces [Stud. Logica 43, 341-351 (1984; Zbl 0587.03046)]. The main result presented in the paper gives a characterization of closure spaces with \(\)-regular bases in terms of Q-embeddings preserving disjunctions. This result provides a tool for the characterization of closure spaces embeddable into the closure space defined by the consequence operation of classical propositional logic.
- Polish Academy of Sciences Poland
- University of Warsaw Poland
- Institute of Mathematics Poland
closure spaces, Topological spaces and generalizations (closure spaces, etc.), General logic, consequence operation of classical propositional logic, Galois correspondences, closure operators (in relation to ordered sets), Logical aspects of lattices and related structures, Q-embeddings preserving disjunctions
closure spaces, Topological spaces and generalizations (closure spaces, etc.), General logic, consequence operation of classical propositional logic, Galois correspondences, closure operators (in relation to ordered sets), Logical aspects of lattices and related structures, Q-embeddings preserving disjunctions
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