Ultrafilters Throughout Mathematics Laura Tach Asking the Right Questions

Asking the Right Questions

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Ultrafilters Throughout Mathematics Laura Tach Asking the Right QuestionsUltrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a