One way to define Witt vectors starts with a truncation set $S \subset N$. We generalize Witt vectors to truncation posets, and show how three types of maps of truncation posets can be used to encode the following six structure maps on Witt vectors: addition, multiplication, restriction, Frobenius, Verschiebung and norm.
Keywords: Witt vectors, truncation posets, Tambara functors
2010 MSC: 13F35
Theory and Applications of Categories, Vol. 32, 2017, No. 8, pp 258-285.