000 | 00424nam a2200145Ia 4500 | ||
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999 |
_c170342 _d170342 |
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020 | _a9780387905082 | ||
040 | _cCUS | ||
082 |
_a515.42 _bOXT/M |
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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 |