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Measure-additive coverings and measurable selectors

100%

Fremlin D. H.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Introduction.............................................................5 1. Measurable spaces with negligibles....................6 2. Ka-regular spaces.............................................16 3. Analytic-additive families...................................30 4. $AF_1$ and $AF_{<ω}.....................................48 5. $AF_ω$ and $AF_∞$.......................................54 6. Measure theory.................................................56 7. Baire category...................................................66 8. Miscellaneous examples....................................76 9. Almost continuous functions..............................81 10. Measurable selectors......................................86 11. Measure-additive families of functions.............95 12. Examples.........................................................98 13. Problems.......................................................105 References.........................................................109 General index......................................................112 Index to special symbols and abbreviations........115

2

A note on the intersections of countably generated σ-algebras

37%

Fremlin D. H., Jasiński J.

Colloquium Mathematicum

|

1988

|

tom 56

|

nr 2

211-220

3

A geometric form of the axiom of choice

31%

Bell J. L., Fremlin D. H.

Fundamenta Mathematicae

|

1972-1973

|

tom 77

|

nr 2

167-170

4

On the average of inner and outer measures

31%

Fremlin D. H.

Fundamenta Mathematicae

|

1991

|

tom 139

|

nr 1

9-15

5

Colacunary sequences in L-spaces

22%

Aldous D. J., Fremlin D. H.

Studia Mathematica

|

1981-1982

|

tom 71

|

nr 3

297-304

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Colloquium Mathematicum

1 Studia Mathematica

5 Fremlin D. H.

1 Aldous D. J.

1 Bell J. L.

1 Jasiński J.

1 1991

1 1988

1 1987

1 1982

1 1972

Measure-additive coverings and measurable selectors

A note on the intersections of countably generated σ-algebras

A geometric form of the axiom of choice

On the average of inner and outer measures

Colacunary sequences in L-spaces