Discrete Differential Forms are used at the Caltech Applied Geometry Lab. Could it be that a general theory of discrete-continuous transition is in their mist?
All I want to do, really, is to implement some of them in Mathematica.
From Harrison's paper:
A major task of mathematics today is to harmonize the continuous and the discrete,
to include them in one comprehensive mathematics, and to eliminate obscurity from
both.
E. T. Bell
Here you have another quote of Harrison's intriguing paper:
``Our paper shows that Whitney's intuition that "chains come first" proved to be correct [Whi57].''
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