Topics in Measure Theory and Real Analysis

Authors:

ISBN: 978-94-91216-36-7 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Book Chapter

    Pages 1-18

    The problem of extending partial functions

  3. No Access

    Book Chapter

    Pages 19-37

    Some aspects of the measure extension problem

  4. No Access

    Book Chapter

    Pages 39-62

    Invariant measures

  5. No Access

    Book Chapter

    Pages 63-78

    Quasi-invariant measures

  6. No Access

    Book Chapter

    Pages 79-96

    Measurability properties of real-valued functions

  7. No Access

    Book Chapter

    Pages 97-109

    Some properties of step-functions connected with extensions of measures

  8. No Access

    Book Chapter

    Pages 111-124

    Almost measurable real-valued functions

  9. No Access

    Book Chapter

    Pages 125-143

    Several facts from general topology

  10. No Access

    Book Chapter

    Pages 145-158

    Weakly metrically transitive measures and nonmeasurable sets

  11. No Access

    Book Chapter

    Pages 159-175

    Nonmeasurable subgroups of uncountable solvable groups

  12. No Access

    Book Chapter

    Pages 177-198

    Algebraic sums of measure zero sets

  13. No Access

    Book Chapter

    Pages 199-213

    The absolute nonmeasurability of Minkowski’s sum of certain universal measure zero sets

  14. No Access

    Book Chapter

    Pages 215-226

    Absolutely nonmeasurable additive Sierpiński-Zygmund functions

  15. No Access

    Book Chapter

    Pages 227-239

    Relatively measurable Sierpiński-Zygmund functions

  16. No Access

    Book Chapter

    Pages 241-256

    A nonseparable extension of the Lebesgue measure without new null-sets

  17. No Access

    Book Chapter

    Pages 257-268

    Metrical transitivity and nonseparable extensions of invariant measures

  18. No Access

    Book Chapter

    Pages 269-280

    Nonseparable left invariant measures on uncountable solvable groups

  19. No Access

    Book Chapter

    Pages 281-295

    Universally measurable additive functionals

  20. No Access

    Book Chapter

    Pages 297-312

    Some subsets of the Euclidean plane

  21. No Access

    Book Chapter

    Pages 313-338

    Restrictions of real-valued functions

  22. Back Matter

    Pages 339-461