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Ordinary differential equations and their exponentials
Authors:Anders Kock  Gonzalo E. Reyes
Affiliation:(1) Department of Mathematical Sciences, University of Aarhus, DK 8000 Aarhus C, Denmark;(2) Department of Mathematics, Université de Montréal, H3C 3J7, Montreal, Quebec, Canada
Abstract:
In the context of Synthetic Differential Geometry, we discuss vector fields/ordinary differential equations as actions; in particular, we exploit function space formation (exponential spaces) in the category of actions.
Keywords:Synthetic Differential Geometry  vector field  action  exponential object
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