Abstract
A continuous mapping between compact topological groups which is "almost" a homomorphism need not be uniformly close to a homomorphism. The distance of the almost homomorphism from a strict homomorphism can be shown to depend not just on the degree of its nonhomomorphy but also on some "continuity scale."
Citation
Pavol Zlatoš. Ján Špakula. "Almost homomorphisms of compact groups." Illinois J. Math. 48 (4) 1183 - 1189, Winter 2004. https://doi.org/10.1215/ijm/1258138505
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