Download E-books Non-Hausdorff Topology and Domain Theory: Selected Topics in Point-Set Topology (New Mathematical Monographs) by Jean Goubault-Larrecq (2013-03-28) PDF
By Jean Goubault-LarrecqThis detailed publication on glossy topology appears well past conventional treatises and explores areas that could, yet don't need to, be Hausdorff. this is often crucial for area concept, the cornerstone of semantics of desktop languages, the place the Scott topology is sort of by no means Hausdorff. For the 1st time in one quantity, this e-book covers uncomplicated fabric on metric and topological areas, complicated fabric on whole partial orders, Stone duality, good compactness, quasi-metric areas and masses extra. An early bankruptcy on metric areas serves as a call for participation to the subject (continuity, limits, compactness, completeness) and kinds an entire introductory path on its own. Graduate scholars and researchers alike will take pleasure in exploring this treasure trove of effects. complete proofs are given, in addition to motivating rules, transparent causes, illuminating examples, software workouts and a few more difficult difficulties for extra complicated readers.