TY - BOOK AU - Oxtoby, John C. TI - Measure and category: a survey of the analogies between topological and measure spaces SN - 9780387905082 U1 - 515.42 PY - 1971/// CY - New York PB - Springer KW - Measure theory KW - Spaces of measures KW - Topological spaces KW - Topology N1 - Measure and category on the line -- Liouville numbers -- Lebesgue measure in r-space -- The property of Baire -- Non-measurable sets -- The Banach-Mazur game -- Functions of first class -- The theorems of Lusin and Egoroff -- Metric and topological spaces -- Examples of metric spaces -- Nowhere differentiable functions -- The theorem of Alexandroff -- Transforming linear sets into nullsets -- Fubini's theorem -- The Kuratowski-Ulam theorem -- The Banach category theorem -- The Poincaré recurrence theorem -- Transitive transformations -- The Sierpinski-Erdös duality theorem -- Examples of duality -- The extended principle of duality -- Category measure spaces ER -