• Corpus ID: 31882807

# A Hadwiger Theorem for Simplicial Maps

```@article{Staecker2014AHT,
title={A Hadwiger Theorem for Simplicial Maps},
author={P. Christopher Staecker and Matthew L. Wright},
journal={arXiv: Algebraic Topology},
year={2014}
}```
• Published 26 February 2014
• Mathematics
• arXiv: Algebraic Topology
We define the notion of valuation on simplicial maps between geometric realizations of simplicial complexes in \$\mathbb{R}^n\$. 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 \$\mathbb{R}^n\$. Our definition not only provides a generalization of the Lefschetz number, but also yields a Hadwiger-style classification theorem for all such valuations.
1 Citations

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