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Measure and category: a survey of the analogies between topological and measure spaces/ John C. Oxtoby

By: Oxtoby, John CMaterial type: Text

TextSeries: (Graduate texts in mathematics) ; 2Publication details: New York: Springer, 1971Edition: 2nd. edDescription: ix, 106 p. ; 24 cmISBN: 9780387905082Subject(s): Measure theory | Spaces of measures | Topological spaces | TopologyDDC classification: 515.42

Contents:

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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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.42 OXT/M (Browse shelf(Opens below))	Available		P25319

Total holds: 0

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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