Embedding X in its Powerset P(X)
Monday, April 17, 2017
 
In this note we prove that the natural inclusion 
j : X ⟶ P(X)   with    j : x ↦ {x},
of a diffeological space into its powerset is an embedding. And a closed embedding if the space is Hausdorff.

(Joint with Paul Donato) Ref. http://math.huji.ac.il/~piz/documents/DBlog-Rmk-EADSIIPS.pdf