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On a question of de Groot and Nishiura

100%

Chatyrko V., Hattori Y.

Fundamenta Mathematicae

2002

tom 172

nr 2

107-115

Let $Zₙ = [0,1]^{n+1} ∖ (0,1)ⁿ × {0}$. Then cmp Zₙ < def Zₙ for n ≥ 5. This is the answer to a question posed by de Groot and Nishiura [GN] for n ≥ 5.

On countable families of sets without the Baire property

81%

Aigner M., Chatyrko V., Nyagahakwa V.

Colloquium Mathematicum

2013

tom 133

nr 2

179-187

We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (ℝⁿ,τ), where n is an integer ≥ 1 and τ is any admissible extension of the Euclidean topology of ℝⁿ (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family ℱ of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of ℱ does not have the Baire property in X.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

2 Chatyrko V.

1 Aigner M.

1 Hattori Y.

1 Nyagahakwa V.

1 2013

1 2002

Wyniki wyszukiwania

On a question of de Groot and Nishiura

On countable families of sets without the Baire property