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" Measure and category : "
John C. Oxtoby
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BL
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| Record Number
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654942
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dltt
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| Main Entry
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Oxtoby, John C
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| Title & Author
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Measure and category : : a survey of the analogies between topological and measure spaces /\ John C. Oxtoby
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| Series Statement
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Graduate texts in mathematics ;; 2
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| Page. NO
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viii, 95 pages ;; 24 cm
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| ISBN
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038790025X
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: 9780387900254
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: 0387053492
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: 9780387053493
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: 3540053492
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: 9783540053491
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| Bibliographies/Indexes
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Includes bibliographical references (pages 92-93) and index
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| Contents
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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
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| Subject
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Measure theory
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Topology
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Spaces of measures
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théorème Fubini
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catégorie
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mesure
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dualite
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Espace Banach
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théorème Alexandrov
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espace métrique
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espace topologique
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| Dewey Classification
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515/.42
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| LC Classification
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QA312.O9
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