000			00424nam a2200145Ia 4500
999			_c170342 _d170342
020			_a9780387905082
040			_cCUS
082			_a515.42 _bOXT/M
100			_aOxtoby, John C.
245			_aMeasure and category: a survey of the analogies between topological and measure spaces/ _cJohn C. Oxtoby
250			_a2nd. ed.
260			_aNew York: _bSpringer, _c1971.
300			_aix, 106 p. ; _c24 cm.
440			_a(Graduate texts in mathematics), _v2
505			_aMeasure 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.
650			_aMeasure theory
650			_aSpaces of measures
650			_aTopological spaces
650			_aTopology
942			_cWB16