Subject: [dmd1@lehigh.edu (DONALD M. DAVIS)] new Hopf listings From: Mark Hovey Date: 15 May 1998 12:17:11 +0000 Three new papers this time, two from hopf and one from xxx. Mark Hovey New papers uploaded to hopf and xxx between 5/12/98 and 5/15/98: 1. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Lydakis/s_functors Simplicial functors and stable homotopy theory by Manos Lydakis Fakultaet fuer Mathematik Universitaet Bielefeld 33615 Bielefeld Germany manos@math206.mathematik.uni-bielefeld.de We study a nice model for the smash product of spectra, the smash product of simplicial functors. We give a self-contained account of the required parts of stable homotopy and model categories. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Rodriguez-Scavenels/epiref TITLE: "Universal epimorphic equivalences for group localizations" AUTHORS: Jose L. Rodriguez Universitat Autonoma de Barcelona 08193 Bellaterra, Spain jlrodri@mat.uab.es http://mat.uab.es/jlrodri Dirk Scevenels Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B--3001 Heverlee, Belgium dirk.scevenels@wis.kuleuven.ac.be ABSTRACT: Recent work by Bousfield shows the existence, for any map $\phi$, of a universal space that is killed by homotopical $\phi$-localization. Nullification with respect to this so-called universal $\phi$-acyclic space is related to $\phi$-localization in the same way as Quillen's plus construction is related to homological localization. Here we construct a universal $f$-acyclic group for any group homomorphism $f$. Moreover, we prove that there is a universal epimorphism $E(f)$ that is inverted by $f$-localization. Although the kernel of the $E(f)$-localization homomorphism coincides with that of the $f$-localization homomorphism, we show that localization with respect to $E(f)$ has in general nicer properties than $f$-localization itself. 3. http://xxx.lanl.gov/dvi/math.AT/9805061 From: "Grigori L. Rybnikov" Date: Wed, 13 May 1998 11:34:38 GMT (12kb) Title: On the fundamental group and triple Massey's product Authors: Grigori Rybnikov Comments: 11 pages, Latex2e with AMSLaTeX 1.2, uses XY-pic package Subj-class: Algebraic Topology; Algebraic Geometry; Combinatorics \\ Let us say that a map of arcwise connected topological spaces (having the homotopy type of CW-complexes) is a pseudo-homeomorphism if it induces an isomorphism of the first integer homology groups and an epimorphism of the second integer homology groups. We prove that any invariant of a topological space w.r.t. pseudo-homeomorphisms is an invariant of the fundamental group of this space. We also describe a necessary condition for the fundamental groups to be distinguished by such invariants. As an example we show that the invariant used in math.AG/9805056 to distinguish the fundamental groups of combinatorially equivalent arrangements is, in fact, a form of triple Massey's product on the first integer homology group. \\ ( http://xxx.lanl.gov/abs/math/9805061 , 12kb) ---------------------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 -------