Quick Search:
Browse by:

Zurich Open Repository and Archive

Bernig, A; Bröcker, L (2002). Lipschitz-Killing invariants. Mathematische Nachrichten, 245:5-25.

Full text not available from this repository.

View at publisher

Abstract

We define and characterize Lipschitz–Killing invariants for lattices of compact sufficiently tame subsets of ℝN. Our main example are definable subsets with respect to an o–minimal system ω. We also investigate the ring M0(ω), which is the metric counterpart of the universal ring K0(ω). The Lipschitz–Killing invariants give rise to a homomorphism M0(ω) ↦ ℝ[t], the kernel of which is the closure of {0}. Here the construction of suitable topologies plays an essential role. The results are also interpreted in terms of spherical currents.

Citations

17 citations in Web of Science®
13 citations in Scopus®