On Limit Amalgamations of Stratififed Spaces

Mathematics – Logic

Scientific paper

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This article is submitted to the Revista Colombiana de Matem\'aticas

Scientific paper

In this article we prove that stratified spaces and other geometric subfamilies satisfy categorical Fra\"iss\'e 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 Bogot\'a, on Sept. 2010.

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