| 1. measure and category on the line . 2. liouville numbers 3. lebesgue measure in r-space 4. the property of baire 5. non-measurable sets 6. the banach-mazur game 7. functions of first class 8. the theorems of lusin and egoroff 9. metric and topological spaces 10. examples of metric spaces 11. nowhere differentiable functions 12. the theorem of alexandroff 13. transforming linear sets into nullsets 14. fubini's theorem .. 15. the kuratowski-ulam theorem 16. the banach category theorem 17. the poincare recurrence theorem 18. transitive transformations 19. the sierpinski-erdos duality theorem 20. examples of duality .21. the extended principle of duality 22. category measure spaces supplementary notes and remarks references supplementary references index ... |
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