## Kharazishvili, Alexander B.

# Topics in Measure Theory and Real Analysis

**Table of contents**

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*

**Keywords:** Mathematics, Measure and Integration

- Author(s)
- Kharazishvili, Alexander B.
- Publisher
- Springer
- Publication year
- 2009
- Language
- en
- Edition
- 1
- Series
- Atlantis Studies in Mathematics
- Page amount
- 475 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9789491216367