Volume-preserving Pl-maps between Polyhedra
نویسندگان
چکیده
We prove that for every two convex polytopes P, Q ∈ R with vol(P ) = vol(Q), there exists a continuous piecewise-linear (PL) volume-preserving map f : P → Q. The result extends to general PL-manifolds. The proof is inexplicit and uses the corresponding fact in the smooth category, proved by Moser in [Mo]. We conclude with various examples and combinatorial applications.
منابع مشابه
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تاریخ انتشار 2004