О неизмеримых множествах и объединениях

On nonmeasurable sets and unions (książka)

• Autor: Jureczko Joanna
• Wydawnictwo: Exit
• Rok wydania: 2023
• Oprawa: miękka
• Liczba stron: 156
• Kod paskowy (EAN): 9788378371403
• Kategoria: Książki > Literatura naukowa

Książka "On nonmeasurable sets and unions" - opis

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