4 citations · 6 across the 3 of their papers we have counts for
4 papers
Categorical distribution theory; heat equation
Anders Kock, Gonzalo E. Reyes
The aim of this paper is to develop the theory of distributions, not necessarily of compact support, in a topos model of Synthetic Differential Geometry, the so-called "Cahiers Top…
Some calculus with extensive quantities: wave equation
Anders Kock, Gonzalo E. Reyes
We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in th…
On the law of motion in Special Relativity
Gonzalo E. Reyes, Antoine Royer
Newton's law of motion relative to an inertial frame ("the laboratory") for a particle subject to a force acting at a certain time may be interpreted in either of two ways: (1) The…
Some differential equations in synthetic differential geometry
Anders Kock, Gonzalo E. Reyes
Some differential equations are considered in the context of Synthetic Differential Geometry. Here, this means that not only nilpotent infinitesimals, but also the formation of fun…