Mathematical Sciences:Set Theoretic Topology
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Set Theoretic Topology is a branch of Topology in which set             theoretic techniques are used to solve problems about the                       existence of various classes of abstract spaces.  Mary Ellen                    Rudin's specialty has been the construction of pathological,                    usually rather set theoretic, counterexamples.  Such examples aid               in the location of theorems and the building of set theoretic                   models in which solutions may be found to natural questions in                  the area.  Like all studies in the foundations of a subject,                    results will at first be of interest only within the area                       (topology in this case), but broader ramifications should become                apparent with time.
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