A survey on Frȯlicher spaces

  • T. Augustin Batubenge
Keywords: Frȯlicher space, differential space, diffeology, manifolds


This survey paper highlights a series of results in recent research on topology, geometry and categorical properties of spaces provided with a new structure in the mathematical literature, called Frȯlicher spaces. Without any fear of contradiction, these smooth spaces are stated to generalize the theory of differentiable manifolds. More precisely, the present study will give the state of research on this topic which historically links a fundamental theorem of calculus in Rn so called Boman’s theorem (and its generalization) to abstract spaces, whether they are normable or not.

Keywords: Frȯlicher space, differential space, diffeology, manifolds


Journal Identifiers

eISSN: 1727-933X
print ISSN: 1607-3606