Subject: new Hopf listings
From: Mark Hovey
Date: 08 Feb 2006 09:45:32 -0500
There are 4 new papers this time, from Biedermann-Chorny-Roendigs,
Bubenik-Worytkiewicz, DavisD-Theriault, and Fresse.
Mark Hovey
New papers appearing on hopf between 1/4/06 and 2/8/06
1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Biedermann-Chorny-Roendigs/biedermann-chorny-roendigs
Title: Goodwillie's calculus and model categories
Author(s): Georg Biedermann, Boris Chorny, Oliver Roendigs
Author's e-mail address: gbiederm@uwo.ca, chorny@math.ethz.ch,
oroendig@math.uni-bielefeld.de
Abstract:
The category of small covariant functors from simplicial sets to
simplicial sets supports the projective model structure. In this paper
we construct various localizations of the projective model structure and
also give a variant for functors from simplicial sets to spectra. We
apply these model categories in the study of calculus of functors,
namely for classification of polynomial and homogeneous
functors. Finally we show that the $n$-th derivative induces a Quillen
map between the $n$-homogeneous model structure on small functors from
pointed simplicial sets to spectra and the category of spectra with
$\Sigma_n$-action. We consider also a finitary version of the
$n$-homogeneous model structure and the $n$-homogeneous model structure
on functors from pointed finite simplicial sets to spectra. In these two
cases the above Quillen map becomes a Quillen equivalence. This improves
the classification of finitary homogeneous functors by T. G. Goodwillie.
2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Bubenik-Worytkiewicz/lps
title: A model category for local po-spaces
author: Peter Bubenik
email: p.bubenik@csuohio.edu
author: Krzysztof Worytkiewicz
email: kworytki@uwo.ca
to appear in: Homology, Homotopy and Applications
abstract:
Locally partial-ordered spaces (local po-spaces) have been used to model
concurrent systems. We provide equivalences for these spaces by
constructing a model category containing the category of local
po-spaces. We show the category of simplicial presheaves on local
po-spaces can be given Jardine's model structure, in which we identify
the weak equivalences between local po-spaces. In the process we give an
equivalence between the category of sheaves on a local po-space and the
category of {\'e}tale bundles over a local po-space. Finally we describe
a localization that should provide a good framework for studying
concurrent systems.
3.
http://hopf.math.purdue.edu/cgi-bin/generate?/DavisD-Theriault/theri6
Odd-primary homotopy exponents of compact simple Lie groups
Donald M. Davis and Stephen D. Theriault
dmd1@lehigh.edu
s.theriault@maths.abdn.ac.uk
We note that a recent result of the second author yields
upper bounds for odd-primary homotopy exponents of compact
simple Lie groups which are often quite close to the lower
bounds obtained from v1-periodic homotopy theory.
4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Fresse/Bar-StructureUniqueness
Title: The bar construction of an $E$-infinity algebra
Author: Benoit Fresse
E-mail: Benoit.Fresse@math.univ-lille1.fr
Abstract: We consider the classical reduced bar construction of
associative algebras B(A). If the product of A is commutative, then B(A)
can be equipped with the classical shuffle product, so that B(A) is
still a commutative algebra. This assertion can be generalized for
algebras which are commutative up to homotopy. Namely, one observes
that the bar construction of an E-infinite algebra B(A) can be endowed
with the structure of an E-infinite algebra.
The purpose of this article is to give an existence and uniqueness
theorem for this claim. We would like to insist on the uniqueness
property: our statement makes the construction of $E$-infinite
structures easier and more flexible. Therefore, the proof of our
existence theorem differs from other constructions of the literature.
In addition, the uniqueness property allows to give easily a homotopy
interpretation of the bar construction.
---------------------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://math.wesleyan.edu/~mhovey/archive/
If this doesn't work or is missing a few issues, try
http://www.lehigh.edu/~dmd1/algtop.html
which also has the other messages sent to Don's list.
To get the papers listed above, point your Web browser to the URL
listed. The general Hopf archive URL is
http://hopf.math.purdue.edu
There is a web form for submitting papers to Hopf on this site as well.
You should submit an abstract as well. Clarence has explicit
instructions for the form of this abstract: see
http://hopf.math.purdue.edu/new-html/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 at math.purdue.edu
telling him what you have uploaded.
The largest archive of math preprints is at
http://arxiv.gov
There is an algebraic topology section in this archive. The most useful
way to browse it or submit papers to it is via the front end developed
by Greg Kuperberg:
http://front.math.ucdavis.edu
To get the announcements of new papers in the algebraic topology section
at the arXiv, send e-mail to math@arxiv.org with subject line "subscribe"
(without quotes), and with the body of the message "add AT" (without
quotes).
I am solely responsible for these messages---don't send complaints
about them to Clarence. Thanks to Clarence for creating and maintaining
the archive.