PDIFF

In geometric topology, PDIFF, for piecewise differentiable, is the category of piecewise-smooth manifolds and piecewise-smooth maps between them. It properly contains Diff – the category of smooth manifolds and smooth functions between them – and PL – the category of piecewise linear manifolds and piecewise linear maps between them – and t...
Found on http://en.wikipedia.org/wiki/PDIFF
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