Approximate homomorphisms on lattices
Classical Analysis and ODEs
2017-12-12 v1
Abstract
We prove two results concerning an Ulam-type stability problem for homomorphisms between lattices. One of them involves estimates by quite general error functions; the other deals with approximate (join) homomorphisms in terms of certain systems of lattice neighborhoods. As a corollary, we obtain a stability result for approximately monotone functions.
Cite
@article{arxiv.1712.03513,
title = {Approximate homomorphisms on lattices},
author = {Roman Badora and Tomasz Kochanek and Barbara Przebieracz},
journal= {arXiv preprint arXiv:1712.03513},
year = {2017}
}