Topics in Measure Theory and Real Analysis

1. The problem of extending partial functions
Alexander B. Kharazishvili

2. Some aspects of the measure extension problem
Alexander B. Kharazishvili

3. Invariant measures
Alexander B. Kharazishvili

4. Quasi-invariant measures
Alexander B. Kharazishvili

5. Measurability properties of real-valued functions
Alexander B. Kharazishvili

6. Some properties of step-functions connected with extensions of measures
Alexander B. Kharazishvili

7. Almost measurable real-valued functions
Alexander B. Kharazishvili

8. Several facts from general topology
Alexander B. Kharazishvili

9. Weakly metrically transitive measures and nonmeasurable sets
Alexander B. Kharazishvili

10. Nonmeasurable subgroups of uncountable solvable groups
Alexander B. Kharazishvili

11. Algebraic sums of measure zero sets
Alexander B. Kharazishvili

12. The absolute nonmeasurability of Minkowski’s sum of certain universal measure zero sets
Alexander B. Kharazishvili

13. Absolutely nonmeasurable additive Sierpiński-Zygmund functions
Alexander B. Kharazishvili

14. Relatively measurable Sierpiński-Zygmund functions
Alexander B. Kharazishvili

15. A nonseparable extension of the Lebesgue measure without new null-sets
Alexander B. Kharazishvili

16. Metrical transitivity and nonseparable extensions of invariant measures
Alexander B. Kharazishvili

17. Nonseparable left invariant measures on uncountable solvable groups
Alexander B. Kharazishvili

18. Universally measurable additive functionals
Alexander B. Kharazishvili

19. Some subsets of the Euclidean plane
Alexander B. Kharazishvili

20. Restrictions of real-valued functions
Alexander B. Kharazishvili

Avainsanat: Mathematics, Measure and Integration