A note on just-non-Ω groups

Abstract

Extending some previous notions in literature, we consider the class of just-non-groups, where is a prevariety of topological groups. Some structure theorems are shown in the compact case. We further analyze some concrete examples.Keywords J N groups · Varieties and prevarieties of topological groups · Lie groups Mathematics Subject Classification (2000) 22C05 · 20E22 · 20E341 The notion of J N group All groups which are considered in this paper are topological groups satisfying Hausdorff separation.