2 papers
math.HO2020
Philosophical Reflections on Intrinsic Differential Geometry around the Gauss-Bonnet Theorem
Joel Merker, Jean-Jacques Szczeciniarz
The statement of the Gauss-Bonnet theorem brings up an unexpected form of reflexivity (major concept of philosophy of mathematics), so that geometry contemplates itself in it. It i…
math.AG2019
Some remarks on blueprints and -schemes
Claudio Bartocci, Andrea Gentili, Jean-Jacques Szczeciniarz
Over the past two decades several different approaches to defining a geometry over have been proposed. In this paper, relying on Toën and Vaquié's formalism, we inv…