Subject: new Hopf listings From: Mark Hovey Date: 12 May 1998 18:56:15 +0000 Two new papers this time. Mark Hovey New papers uploaded to hopf between 5/8/98 and 5/12/98: 1. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Hovey/model This is a revised version of my book, "Model categories". It is a 1-Meg download. You can download individual chapters, or you will be able to in about 2 weeks, from my home page (URL in instructions below). This is a major revision from the previous version, and is much better in my opinion. Mostly the exposition is better, but also some results are improved. The best new result is a better suffcient condition for smallness in the homotopy category. Recall the book is a thorough introduction to model categories, with detailed discussion of the major examples. The highlights include a proof that the homotopy category of an arbitrary model category is naturally a closed module over the homotopy category of simplicial sets, and sufficient conditions for the homotopy category of a model category to be a stable homotopy category in the sense of Hovey-Palmieri-Strickland. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Lupton/Halpconj Title: Variations on a Conjecture of Halperin Author: Gregory Lupton AMS Classn.: 55P62 Address: Department of Mathematics Cleveland State University 2400 Euclid Avenue Cleveland OH 44115 U.S.A. E-mail address: Lupton@math.csuohio.edu Abstract: Halperin has conjectured that the Serre spectral sequence of any fibration that has fibre space a certain kind of elliptic space should collapse at the $E_2$-term. In this paper we obtain an equivalent phrasing of this conjecture, in terms of formality relations between base and total spaces in such a fibration (Theorem 3.4). Also, we obtain results on relations between various numerical invariants of the base, total and fibre spaces in these fibrations. Some of our results give weak versions of Halperin's conjecture (Remark 4.4 and Corollary 4.5). We go on to establish some of these weakened forms of the conjecture (Theorem 4.7). In the last section, we discuss extensions of our results and suggest some possibilities for future work. ---------------------Instructions----------------------------- To subscribe or unsubscribe to this list, send a message to Don Davis at dmd1@lehigh.edu with your e-mail address and name. Please make sure he is using the correct e-mail address for you. To see past issues of this mailing list, point your WWW browser to http://www.cs.wesleyan.edu/Math/Guests/Mark If this doesn't work or is missing a few issues, try http://www.lehigh.edu/~dmd1/public/www-data/algtop.html , which also has the other messages sent to Don's list. To get the papers listed above, point your WWW client (Mosaic, Netscape) to the URL listed. The general Hopf archive URL is http://hopf.math.purdue.edu There are links to conference announcements, Purdue seminars, and other math related things on this page as well. The general xxx archive URL is http://xxx.lanl.gov. More useful is the front end developed by Greg Kuperberg: http://front.math.ucdavis.edu You can also use ftp to hopf.math.purdue.edu, and login as ftp. Then cd to pub. Files are organized by author name, so papers by me are in pub/Hovey. If you want to download a file using ftp, you must type binary before you type get . To put a paper of yours on the archive, cd to /pub/incoming. Transfer the dvi file using binary, by first typing binary then put You should also transfer an abstract as well. Clarence has explicit instructions for the form of this abstract: see http://hopf.math.purdue.edu/pub/submissions.html. In particular, your abstract is meant to be read by humans, so should be as readable as possible. I reserve the right to edit unreadable abstracts. You should then e-mail Clarence at wilker@math.purdue.edu telling him what you have uploaded. For instructions on uploading papers to xxx, see http://front.math.ucdavis.edu I am solely responsible for these messages---don't send complaints about them to Clarence. Thanks to Clarence for creating and maintaining the archive. ------- End of forwarded message ------- ------- End of forwarded message -------