Book:G. Gierz/A Compendium of Continuous Lattices

G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M.W. Mislove and D.S. Scott: A Compendium of Continuous Lattices

Published $\text {1980}$, Springer-Verlag

ISBN 0-521-80338-1

Subject Matter

• continuous lattices

• topological semilattices

• complete Heyting algebras

• meet continuous lattices

Table of Contents

0. A Primer on Complete Lattices

I. Lattice Theory of Continuous Lattices

II. Topology of Continuous Lattices: The Scott Topology

III. Topology of Continuous Lattices: The Lawson Topology

IV. Morphisms and Functors

V. Spectral Theory of Continuous Lattices

VI. Compact Posets and Semilattices

VII. Topological Algebra and Lattice Theory: Applications