On nonmeasurable sets and unions

Opis książki:

In mathematics, a nonmeasurable set is one for which the "volume" cannot be assigned. This "volume" can be understood differently depending on the structure in which we search sucha a set. In fact, from the very beginning, the notation of nonmeasurable set was a source of considerable controversy.

CONTENTS
Introduction
I
1. Preliminaries
2. nonmeasurable sets
II
3. Kuratowski partitions
4. On Kuratowski partitions in tree structures
5. On Kuratowski partitions in Ellentuck topology
6. Ideals associated with Kuratowski partitions
7. Kuratowski partitions in Baire spaces
8. Kuratowski partitions and game theory
9. Kuratowski partitions in complete metric spaces
10. An example of a metric space without Kuratowski partitions
III
11. The generalization of Louveau-Simpson Theorem
12. On the equivalences of Gitik-Shelak Theorem
13. The generalization of Halpern-Lauchli Theorem
IV
14. {Partitions and point-finite covers in Baire spaces
15. Nonmeasurable unions for point-finite families
16. On the existence of measurable selectors
Bibliography
Index

Książka "On nonmeasurable sets and unions" - Joanna Jureczko - oprawa miękka - Wydawnictwo Exit. Książka posiada 156 stron i została wydana w 2023 r. Cena 31.97 zł. Zapraszamy na zakupy!