From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/277 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: RE: question on finiteness in toposes Date: Mon, 13 Jan 1997 10:26:43 -0400 (AST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241016865 25004 80.91.229.2 (29 Apr 2009 14:54:25 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:54:25 +0000 (UTC) To: categories Original-X-From: cat-dist Mon Jan 13 10:27:32 1997 Original-Received: by mailserv.mta.ca; id AA13683; Mon, 13 Jan 1997 10:26:44 -0400 Original-Lines: 16 Xref: news.gmane.org gmane.science.mathematics.categories:277 Archived-At: Date: Sun, 12 Jan 1997 16:53:57 -0500 (EST) From: F William Lawvere Now that the question of finiteness as been reactivated here, may I bring up again the following question ? What concept of finiteness is appropriate for those important mathematical applications in topology for which K/S doesn't seem right ? (For example the equalizer closure of K/S or...??) Especially, a suitably "finite" module should be a vector bundle or a FAC in the sense of Serre so that our simplified topos theory could apply more directly to those things it should. Bill L