A Hadwiger Theorem for Simplicial Maps
نویسندگان
چکیده
We define the notion of valuation on simplicial maps between geometric realizations of simplicial complexes in R. Valuations on simplicial maps are analogous to valuations on sets. In particular, we define the Lefschetz volumes, which are analogous to the intrinsic volumes of subsets of R. Our definition not only provides a generalization of the Lefschetz number, but also yields a Hadwigerstyle classification theorem for all such valuations.
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تاریخ انتشار 2014