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“Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” (Mathematical Reviews) - In 2009, the author considered updating its second edition to reflect some exciting new developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person.
This three-volume-set comprises the complete lattice theory project.
Lattice Theory: Foundation is the revised and enlarged third edition of General Lattice Theory. It focuses on introducing the field and covers the fundamental concepts and results.
The two Special Topics and Applications volumes, jointly edited by George Grätzer and Friedrich Wehrung, update the reader on some of the vast areas not in Foundation.
Volume 1 is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.
Volume 2 is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.