On Limit Amalgamations of Stratififed Spaces

Abstract

In this article we prove that stratified spaces and other geometric subfamilies satisfy categorical Fraïssé properties, a matter that might be of interest for both geometers and logicians. As a motivation we show a new example of a stratified pseudomanifold that satisfies the finite oscillation property with respect to a smooth stratified action. Part of this work was presented by the authors at the First Meeting of Logic and Geometry in Bogotá, on Sept. 2010.

arXiv commentThis article is submitted to the Revista Colombiana de Matemáticas