Diffeological, Frölicher, and Differential Spaces
February 14, 2018
 
A collective paper by Augustin Batubenge, Patrick Iglesias-Zemmour, Yael Karshon, and Jordan Watts. Differential calculus on Euclidean spaces has many generalisations. In particular, on a set X, a diffeological structure is given by maps from open subsets of Euclidean spaces to X, a differential structure is given by maps from X to R, and a Frölicher structure is given by maps from R to X as well as maps from X to R. We illustrate the relations between these structures through examples.  Submitted for publication