In this text, we use characters of lattices (i.e. lattice morphisms into the two-element lattice) and characters of topological spaces (i.e. continuous functions into an appropriately topologized two element space) to obtain connections and dualities between various categories o…
In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of distributive and modular lattices to outline the development of semimodular lattices from Boolean algebras. He focuses on the important theory of semimodularity, its many ramificati…
The author surveys and analyzes Garrett Birkhoff's concept of semimodularity and the various related concepts in lattice theory, and he presents theoretical results as well as applications in discrete mathematics, group theory, and universal algebra. Special emphasis is given to…
