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This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
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Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science. In recent years, quasitopoi have become increasingly important in the diverse areas of Mathematics such as General Topology and Fuzzy Set Theory. These Lecture Notes are the first comprehensive introduction to quasitopoi, and they can serve as a first introduction to topoi as well. Contents:Basic PropertiesExamples of Topoi and QuasitopoiLogic in a QuasitoposTopologies and SheavesGeometric MorphismsInternal Categories and DiagramsTopological QuasitopoiQuasitopoi and Fuzzy Sets Readership: Mathematicians and theoretical computer scientists. Keywords:Quasi...