Measure and category: a survey of the analogies between topological and measure spaces/
Oxtoby, John C.
Measure and category: a survey of the analogies between topological and measure spaces/ John C. Oxtoby - 2nd. ed. - New York: Springer, 1971. - ix, 106 p. ; 24 cm. - (Graduate texts in mathematics), 2 .
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.
9780387905082
Measure theory
Spaces of measures
Topological spaces
Topology
515.42 / OXT/M
Measure and category: a survey of the analogies between topological and measure spaces/ John C. Oxtoby - 2nd. ed. - New York: Springer, 1971. - ix, 106 p. ; 24 cm. - (Graduate texts in mathematics), 2 .
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.
9780387905082
Measure theory
Spaces of measures
Topological spaces
Topology
515.42 / OXT/M