A note on complex unions of subsets of the real line
A note on convergence of level sets.
A note on determinacy of measures
A note on equivalent interval covering systems for Hausdorff dimension on R.
A note on ideals of compact sets
Solecki has shown that a broad natural class of 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
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
A note on Lusin's condition (N)
A note on measurable functions
A Note on Measurable Sets
A note on norm-attaining functionals
A note on perimeter and measure
A note on restricted measurability
A note on Riemann integrability.
A note on stable iterated function systems.
A note on strong measure zero sets
A note on Talagrand's concentration inequality.
A note on the characterization of standard Borel spaces.
A note on the Ehrhard inequality
We prove that for λ ∈ [0,1] and A, B two Borel sets in with A convex, , where is the canonical gaussian measure in and is the inverse of the gaussian distribution function.
A Note on the Extension of Measures on Lattices