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Inductive limit of general linear groups

Inductive limit of general linear groups

IntroductionL e t G=lim G" b e the inductive lim it of an inductive system o f topological groups G" G " , (n c N ).Recently, Tatsuuma ([4] o r [5 ]) remarked:(1) The inductive limit topology of G does not always give a topological group structure on G.(2) …