7 citations · 7 across the 5 of their papers we have counts for
5 papers
Nonstandard Universes
Peter Ouwehand
These notes are concerned with the existence and the basic properties of the set-theoretic universes for nonstandard analysis, compiled by a beginner in the subject. It assumes a b…
Enlargement of Filtrations -- A Primer
Peter Ouwehand
In stochastic analysis, the flow of information through time is typically modelled using a filtration. We introduce some of the basic ideas involving enlargements of filtration. He…
The Levy-Ito Decomposition theorem
J. L. Bretagnolle, P. Ouwehand
This a free translation with additional explanations of {\em Processus à Accroissement Independants Chapitre I: La Décomposition de Paul Lévy}, by J.L. Bretagnolle, in {\em Ecole d…
Commutator Theory and Abelian Algebras
Peter Ouwehand
This is the first draft of a set of lecture notes developed for one-half of a seminar on two approaches to the notion of "Abelian", namely those of universal algebra, and of catego…
Absolute Retracts and Essential Extensions in Congruence Modular Varieties
Peter Ouwehand
This paper studies absolute retracts in congruence modular varieties of universal algebras. It is shown that every absolute retract with finite dimensional congruence lattice is a…