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Solecki has shown that a broad natural class of $G_{δ}$ ideals of compact sets can be represented through the ideal of nowhere dense subsets of a closed subset of the hyperspace of compact sets. In this note we show that the closed subset in this representation can be taken to be closed upwards.

A note on intersections of non-Haar null sets

Eva Matoušková, Miroslav Zelený (2003)

Colloquium Mathematicae

We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.

A note on Lusin measurability in measure spaces

Josef Štěpán (2003)

Mathematica Slovaca

A note on Lusin's condition (N)

James Foran (1976)

Fundamenta Mathematicae

A note on measurable functions

Beloslav Riečan (1971)

Časopis pro pěstování matematiky

A Note on Measurable Sets

Beloslav Riečan (1971)

Matematický časopis

A note on norm-attaining functionals

Luděk Zajíček (1981)

Časopis pro pěstování matematiky

A note on perimeter and measure

Josef Král (1963)

Czechoslovak Mathematical Journal

A note on restricted measurability

Galina Horáková, Ján Šipoš (1979)

Mathematica Slovaca

A note on Riemann integrability.

Beer, G.A. (1978)

International Journal of Mathematics and Mathematical Sciences

A note on stable iterated function systems.

Mimna, Roy A., Smotzer, Thomas (2006)

International Journal of Mathematics and Mathematical Sciences

A note on strong measure zero sets

A. Andryszczak, Ireneusz Recƚaw (1993)

Acta Universitatis Carolinae. Mathematica et Physica

A note on Talagrand's concentration inequality.

Panchenko, Dmitriy (2001)

Electronic Communications in Probability [electronic only]

A note on the characterization of standard Borel spaces.

Ottó J. Björnsson (1980)

Mathematica Scandinavica

A note on the Ehrhard inequality

Rafał Latała (1996)

Studia Mathematica

We prove that for λ ∈ [0,1] and A, B two Borel sets in $ℝ^{n}$ with A convex, $Φ^{- 1} (γ_{n} (λ A + (1 - λ) B)) \geq λ Φ^{- 1} (γ_{n} (A)) + (1 - λ) Φ^{- 1} (γ_{n} (B))$ , where $γ_{n}$ is the canonical gaussian measure in $ℝ^{n}$ and $Φ^{- 1}$ is the inverse of the gaussian distribution function.

A Note on the Extension of Measures on Lattices

Beloslav Riečan (1970)

Matematický časopis

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