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Definable hereditary families in the projective hierarchy

100%

Barua R., Srivatsa V. V.

Fundamenta Mathematicae

1991-1992

tom 140

nr 2

183-189

We show that if ℱ is a hereditary family of subsets of $ω^ω$ satisfying certain definable conditions, then the $Δ_1^1$ reals are precisely the reals α such that ${β:α ∈ Δ_1^1(β)} ∉ ∈ ℱ$. This generalizes the results for measure and category. Appropriate generalization to the higher levels of the projective hierarchy is obtained under Projective Determinacy. Application of this result to the $Q_{2n+1}$-encodable reals is also shown.

Existence of measurable selectors and parametrizations for $G_δ$-valued multifunctions

79%

Srivatsa V. V.

Fundamenta Mathematicae

1984

tom 122

nr 1

23-32

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Srivatsa V. V.

1 Barua R.

1 1992

1 1984

Wyniki wyszukiwania

Definable hereditary families in the projective hierarchy

Existence of measurable selectors and parametrizations for $G_δ$-valued multifunctions