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math.DS2018
A Lax Functorial Definition of Open Dynamics
Stéphane Dugowson
This paper provides a rewording in the language of lax-functors of the definition of open dynamics given in our systemic theory of interactivity exposed in previous papers.
math.GN2018
Toposes of connectivity spaces. Morita equivalences with topological spaces and partially ordered sets in the finite case
Stéphane Dugowson
This paper has two parts. First, we recall and detail the definition of the Grothendieck topos of a connectivity space, that is the topos of sheaves on such a space. In the second…