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arXiv · 1712.03513

Approximate homomorphisms on lattices

Roman Badora·Tomasz Kochanek·Barbara Przebieracz
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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.

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Roman Badora, Tomasz Kochanek, Barbara Przebieracz. 2017-12-10. Approximate homomorphisms on lattices. https://arxiv.org/abs/1712.03513

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