From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9102 Path: news.gmane.org!.POSTED!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: motivation Date: Mon, 06 Feb 2017 03:15:06 -0500 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: blaine.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: blaine.gmane.org 1486475637 31696 195.159.176.226 (7 Feb 2017 13:53:57 GMT) X-Complaints-To: usenet@blaine.gmane.org NNTP-Posting-Date: Tue, 7 Feb 2017 13:53:57 +0000 (UTC) To: "Vasili I. Galchin" , Categories mailing list Original-X-From: majordomo@mlist.mta.ca Tue Feb 07 14:53:53 2017 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp2.mta.ca ([198.164.44.40]) by blaine.gmane.org with esmtp (Exim 4.84_2) (envelope-from ) id 1cb6DR-00081y-9L for gsmc-categories@m.gmane.org; Tue, 07 Feb 2017 14:53:53 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:34893) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1cb6As-0005qF-6t; Tue, 07 Feb 2017 09:51:14 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1cb6AN-000523-Mx for categories-list@mlist.mta.ca; Tue, 07 Feb 2017 09:50:43 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9102 Archived-At: "Vasili I. Galchin" asks: > What and when was the motivation of the lifting concept? When? "Way back when." What? -- lifting paths in a base space to paths in a covering of it. See, for example the "lifting" and "homotopy lifting" entries in Sze-Tsen Hu's classic 20th C. = textbook {Homotopy}, in Academic Press, circa 1960. = Of course that work isn't the origin of the lifting concept. But it does discuss the motivation quite plainly and carefully. = This may start you on an interesting and fruitful journey to earlier works, perhaps as far back as to Weyl's {Riemann Surfaces} or beyond. -- FEJ Linton [For admin and other information see: http://www.mta.ca/~cat-dist/ ]