Keywords

#pdiff

PDIFF

Category of piecewise-smooth manifolds

In geometric topology, PDIFF, for piecewise differentiable, is the category of piecewise-smooth manifolds and piecewise-smooth maps between them. It properly contains DIFF and PL, and the reason it is defined is to allow one to relate these two categories. Further, piecewise functions such as splines and polygonal chains are common in mathematics, and PDIFF provides a category for discussing them.

Mon 26th

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PDIFF Piecewise linear manifold Piecewise function Maps of manifolds Piecewise linear function Brenda Baker Angströmquelle Karlsruhe
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