4 papers · 1 filter
Finitely-additive, countably-additive and internal probability measures
Haosui Duanmu, William Weiss
We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an inte…
Generalized symmetric systems and thin-very tall compact scattered spaces
Miguel Angel Mota, William Weiss
We solve a well--known problem in the theory of compact scattered spaces and superatomic boolean algebras by showing that, under GCH and for each regular cardinal , there…
Definable Davies' Theorem
Asger Tornquist, William Weiss
We prove the following analogue of a Theorem of R.O. Davies: Every function can be represented as a sum of rectangular functions if and only if…
Steinhaus Sets and Jackson Sets
Su Gao, Arnold W. Miller, William A. R. Weiss
We prove that there does not exist a subset of the plane S that meets every isometric copy of the vertices of the unit square in exactly one point. We give a complete characterizat…