Roman Sikorski defined the term “differential module” in 1971/72. Mark Mostow further developed the theory in 1979. The following definition of a differentiable space (a kind of generalized smooth space) comes from Mostow’s paper where it is attributed to Sikorski.
A differentiable space is a topological space together with, for each open in , a collection of continuous real-valued functions on , satisfying the closure conditions:
The elements of are called smooth functions on .
Last revised on April 16, 2009 at 23:39:01. See the history of this page for a list of all contributions to it.