This survey article tackles different aspects of lattices of algebraic subsets, with the emphasis on the following: the theory of quasivarieties, general lattice theory and the theory of closure spaces with the anti-exchange axiom.
Mathematics Subject Classification (2000).06B05 06B15 08C15 06B23
Key words and phrases.Lattice continuous atomistic biatomic join-semidistributive quasivariety closure operator anti-exchange axiom convex geometry
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