The theory of complete lattices is described in the language of set theory. The use of Hasse diagrams to represent finite lattices is described. Boolean lattices are defined and de Morgan's Laws are introduced. Regular closed sets are studied as an example of such lattices. Boolean functions and their representations are defined.
|Boolean functions, Boolean lattices, Complete lattices, Power sets|
|Advances in Imaging and Electron Physics|
|Organisation||Centrum Wiskunde & Informatica, Amsterdam, The Netherlands|
Heijmans, H.J.A.M. (Henk J.A.M.). (2020). Complete lattices. In Advances in Imaging and Electron Physics. doi:10.1016/bs.aiep.2020.07.002