Subject: RE: question abt topl gps From: "Lynn Dover" Date: Fri, 3 Sep 2004 09:05:50 -0600 To: "Don Davis" Hello Dr. George: I have a partial reply for you: there is always a trivial solution to your question. The subgroup {e} (where e is the identity element of G) forms a filter base which converges to the identity. I don't know whether the existence of a trivial solution is sufficient for you or not. Certainly, the question of whether a non-trivial solution must exist is more interesting, but I don't have a concrete answer for that yet. Lynn Dover Department of Mathematical and Statistical Sciences University of Alberta Edmonton, Canada -----Original Message----- From: Don Davis [mailto:dmd1@Lehigh.EDU] Sent: August 30, 2004 6:05 AM To: Don Davis Subject: question abt topl gps Subject: Re:Question From: adel george Date: Sun, 29 Aug 2004 14:38:12 -0700 (PDT) From:Dr.George,Adel A. I have the following question,please post it: Let G be a Hausdorff topological group that has a filter base M of closed normal subgroups converging to the identity.Does G has a coarser cofinite(i.e. every element has a finitely many predessesors) filter base N of closed normal subgroups converging to the identity?