On Limit Amalgamations of Stratififed Spaces

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.

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