September 29, 2007, update October 18, 2007
![This paper tries to answer some questions asked to me by several people about the diffeology of half-spaces and Manifolds with boundary? For example, what kind of smooth maps from a closed interval [a,b] to the reals do we get for the subset diffeology of the interval? We show here that we get the usual smooth maps, that is all the restrictions of smooth maps defined on some open interval containing [a,b]. And more generally, we show that manifolds with boundary are modeled on half-spaces, equipped with the subset diffeology.](5777AC95-FF96-42D6-A7BB-889A78FF5439_files/shapeimage_2.png)
