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math.CT2016
The Fermat Functors, Part I: The theory
Enxin Wu
In this paper, we use some basic quasi-topos theory to study two functors: one adding infinitesimals of Fermat reals to diffeological spaces (which generalize smooth manifolds incl…
math.CA2016
Convergences and the Intermediate Value Property in Fermat Reals
Enxin Wu
This paper contains two topics of Fermat reals, as suggested by the title. In the first part, we study the ω-topology, the order topology and the Euclidean topology on Fermat reals…