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Compact covering mappings and cofinal families of compact subsets of a Borel set

100%

Debs G., Raymond J.

Fundamenta Mathematicae

2001

tom 167

nr 3

213-249

Among other results we prove that the topological statement "Any compact covering mapping between two Π⁰₃ spaces is inductively perfect" is equivalent to the set-theoretical statement "$∀α ∈ ω^{ω}, ω₁^{L(α)} < ω₁$"; and that the statement "Any compact covering mapping between two coanalytic spaces is inductively perfect" is equivalent to "Analytic Determinacy". We also prove that these statements are connected to some regularity properties of coanalytic cofinal sets in 𝒦(X), the hyperspace of all compact subsets of a Borel set X.

Espaces héréditairement de Baire

40%

Debs G.

Fundamenta Mathematicae

1988

tom 129

nr 3

199-206

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Debs G.

1 Raymond J.

1 2001

1 1988

Wyniki wyszukiwania

Compact covering mappings and cofinal families of compact subsets of a Borel set

Espaces héréditairement de Baire