Almost homomorphisms of compact groups

Špakula, Ján; Zlatoš, Pavol

Illinois J. Math., Tome 48 (2004) no. 3, p. 1183-1189 / Harvested from Project Euclid

Résumé

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."

Publié le : 2004-10-15
Classification: 22C05, 41A65

@article{1258138505,
     author = {\v Spakula, J\'an and Zlato\v s, Pavol},
     title = {Almost homomorphisms of compact groups},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 1183-1189},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138505}
}

Špakula, Ján; Zlatoš, Pavol. Almost homomorphisms of compact groups. Illinois J. Math., Tome 48 (2004) no. 3, pp.  1183-1189. http://gdmltest.u-ga.fr/item/1258138505/