Date: Mon, 4 Sep 1995 08:59:27 -0300 (ADT) Subject: limits of finite monoids Date: Sat, 2 Sep 95 20:22:16 EDT From: Michael Barr Surely it must be known that a topological monoid, compact, hausdorff and zero dimensional is a filtered limit of finite monoids. Can someone supply a reference? Date: Wed, 6 Sep 1995 15:53:52 -0300 (ADT) Subject: Re: limits of finite monoids Date: Tue, 5 Sep 95 10:30 BST From: Dr. P.T. Johnstone See Theorem VI 2.9 (page 242) in "Stone Spaces" (and Example (a) following it). Peter Johnstone [Also noted by Steve Vickers.]