Subject: new Hopf listings From: Mark Hovey Date: 17 Mar 1998 08:29:50 +0000 -------------- There are two new papers this time: the first one is not on Hopf yet but is available from xxx. I expect it to be available soon from Hopf as well, and will give you the expected Hopf URL. I will also give you the URL to download the .dvi file from xxx. In figuring out this URL I learned, to my chagrin, that xxx not only requires you to submit your .tex file, but also allows anyone else to download it! I had not realized this before. Mark Hovey New papers uploaded to Hopf (and xxx) between 3/5/98 and 3/17/98: 1. http://xxx.lanl.gov/dvi/math.AT/9803068 (If you want postscript, change "dvi" to "ps". If you want pdf, change "dvi" to "pdf". If you want the tex source, you will have to figure out what to do for yourself.) Should also be available on Hopf soon at http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Hopkins-Palmieri-Smith/vanish Paper: math.AT/9803068 From: John H. Palmieri Date: Mon, 16 Mar 1998 14:58:38 GMT (6kb) Title: Vanishing lines in Adams spectral sequences are generic Authors: M. J. Hopkins, J. H. Palmieri, J. H. Smith Comments: 6 pages Subj-class: Algebraic Topology MSC-class: 55T15; 55P42 \\ We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic property. \\ ( http://xxx.lanl.gov/abs/math/9803068 , 6kb) 2. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Schwede/Gamma_algebra `Stable homotopical algebra and $\Gamma$-spaces' by Stefan Schwede Department of Mathematics Massachusetts Insitute of Technology Cambridge, MA 02141 schwede@math.mit.edu In this paper we advertise the category of $\Gamma$-spaces as a convenient framework for doing `algebra' over `rings' in stable homotopy theory. $\Gamma$-spaces were introduced by Segal who showed that they give rise to a homotopy category equivalent to the homotopy category of connective spectra. Bousfield and Friedlander later provided model category structures for $\Gamma$-spaces, and Lydakis recently introduced a symmetric monoidal smash product with good homotopical properties. Here we develop model category structures for modules and algebras, set up (derived) smash products and associated spectral sequences, and compare simplicial modules and algebras to their Eilenberg-MacLane spectra counterparts. We believe that one advantage of the $\Gamma$-space approach is its simplicity. The definitions of the stable equivalences, the smash product, and the `rings' (which we call `Gamma-rings') only take a few pages. Furthermore $\Gamma$-spaces are nicely compatible with classical rings and modules. There is an Eilenberg-MacLane functor which embeds the category of simplicial abelian groups as a full subcategory of the category of $\Gamma$-spaces. The embedding has a strong symmetric monoidal left adjoint which models spectrum homology. We can give a quick proof that modules and algebras over a simplicial ring have the same homotopy theory as their counterparts over the associated Eilenberg-MacLane Gamma-ring. One intrinsic limitation of this approach comes from the fact that $\Gamma$-spaces only model connective spectra. This rules out applications in certain areas of stable homotopy theory, but it is no essential restriction for the purpose of algebraic K-theory, topological Hochschild homology and topological cyclic homology. This paper will appear in the Mathematical Proceedings of the Cambridge Philosophical Society. ---------------------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. 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. 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 -------