From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6302 Path: news.gmane.org!not-for-mail From: Marta Bunge Newsgroups: gmane.science.mathematics.categories Subject: RE: errata Date: Thu, 7 Oct 2010 19:46:27 -0400 Message-ID: References: Reply-To: Marta Bunge NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1286564359 10500 80.91.229.12 (8 Oct 2010 18:59:19 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 8 Oct 2010 18:59:19 +0000 (UTC) Cc: To: Eduardo Dubuc Original-X-From: majordomo@mlist.mta.ca Fri Oct 08 20:59:17 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.138]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1P4IA1-0002IS-2E for gsmc-categories@m.gmane.org; Fri, 08 Oct 2010 20:59:17 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:43935) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1P4I92-0004LU-5j; Fri, 08 Oct 2010 15:58:16 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1P4I8x-0007iD-Ep for categories-list@mlist.mta.ca; Fri, 08 Oct 2010 15:58:11 -0300 In-Reply-To: <20101007010252.EA0FDCF26@mailscan2.ncs.mcgill.ca> Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6302 Archived-At: Even in the locally connected case there are several non isomorphic trivial= ization structures. The difference is that=2C in that case=2C there is a ca= nonical one. > Date: Wed=2C 6 Oct 2010 09:34:51 -0300 > From: edubuc@dm.uba.ar > To: edubuc@dm.uba.ar > CC: categories@mta.ca > Subject: categories: errata >=20 >=20 >> >> The difference is only manifest when the space B is not locally >> connected. In >> this case we may have homeomorphisms from X to X over B which do not >> preserve >> this structure (Spanier=2C Algebraic Topology). >> >> >=20 > is not quite it should be=2C >=20 > there is a clear notion of isomorphism of trivialization structure=2C and= a same > space X over B may have non isomorphic structures. Alternatively=2C a con= tinuous > function over B does not necessarily preserve the trivialization structur= es. >=20 > however=2C if B is locally connected=2C trivialization structures are lik= e a pure > property of X. >=20 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]