# Witt vectors and truncation posets

## Vigleik Angeltveit

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.

Published 2017-02-10.

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