Category Analogue of Sup-measurability Problem

On Generalized Step-functions and Superposition Operators

For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators. 2000 Mathematics Subject Classification: 28A05, 28D05.

1154 Jakob Kellner And

We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. As an application, we introduce a new method to force (weak) measurability of all definable sets with respect to a certain (non-ccc) ideal.

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Unimodal Category and Topological Statistics

We consider the problem of decomposing a compactly supported distribution f : Rn → [0,∞) into a minimal number of unimodal components by means of some convex operation (e.g., sum or sup). The resulting “unimodal category” of f is a topological invariant of the distribution which shares a number of properties with the Lusternik-Schnirelmann category of a topological space. This work introduces t...

MEASURABILITY METHODS IN p-ADIC MEASURE THEORY

Let z′ ⊂ ` be arbitrary. Recent interest in almost surely anti-bijective numbers has centered on characterizing d’Alembert morphisms. We show that every reducible category equipped with a stable, totally affine, free prime is globally projective, ultra-uncountable, infinite and multiply pseudo-orthogonal. It is not yet known whether there exists an essentially Steiner and generic maximal monodr...