Klein Stratification
Monday, February 14, 2022
 
In this note, we show how a smooth action of a diffeological group on a diffeological space defines a stratification in a minimal sense. That applies also to the Klein strata which are the orbits of the diffeomorphisms of the space. Therefore, every diffeological space comes with a natural stratification, its Klein stratification. This stratification leads naturally to the precise concept of singularity of a diffeological space. Ref. http://math.huji.ac.il/~piz/documents/DBlog-Rmk-KSODS.pdf