$\mathrm{SL}(n)$ contravariant function-valued valuations on polytopes

Zhongwen Tang, Jin Li, Gangsong Leng

We present a complete classification of $\mathrm{SL}(n)$ contravariant, $C({\mathbb{R}}^n\setminus \{o\})$-valued valuations on polytopes, without any additional assumptions.It…