Anonymous ftp is now fixed, so you can use this method to put papers on
Hopf if you prefer it to the web form.  Both are better than e-mail. 

4 new papers this time, from McClure-SmithJH, Nam, Palmieri, and
Saneblize-Umble.  

                  Mark Hovey

New papers appearing on hopf between 11/13/02 and 12/01/02

1.
http://hopf.math.purdue.edu/cgi-bin/generate?/McClure-SmithJH/McClure-Smith3

Cosimplicial Objects and little $n$-cubes. I.

James E. McClure and Jeffrey H. Smith

AMS Classification Numbers 18D50; 55P48

Submitted to arXiv: math.QA/0211368

Department of Mathematics
Purdue University 
150 N. University Street 
West Lafayette, IN  47907-2067

mcclure@math.purdue.edu jhs@math.purdue.edu

In this paper we show that if a cosimplicial space or spectrum $X^\bullet$ 
has a certain kind of combinatorial structure (we call it a 
$\Xi^n$-structure) then the total space of $X^\b$ has an action of a certain 
operad which is weakly equivalent to the little $n$-cubes operad.  The $n\leq 
2$ case was proved by a more complicated argument in our earlier paper A 
Solution of Deligne's Hochschild Cohomology Conjecture
(http://front.math.ucdavis.edu/math.QA/9910126).  In the special case 
$n=\infty$, we define a symmetric monoidal structure $\boxtimes$ on 
cosimplicial spaces and show that if $X^\b$ is a commutative 
$\boxtimes$-monoid then the total space of $\X^\b$ is an $E_\infty$ space.

2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Nam/namInvent

A-generateurs generiques pour l'algebre polynomiale
by Tran Ngoc Nam

Nous r�ésolvons g�én�ériquement le probl�ème ``hit'' (pos�é en 1986
par Franklin P. Peterson) par la d�écouverte en degr�és g�én�ériques d'un
syst�ème g�én�érateur minimal explicite pour l'alg�èbre polynomiale comme
module sur l'alg�èbre de Steenrod mod 2. Cette solution implique en
particulier un r�ésultat de J. Repka-P. Selick, une partie de celui de
M. C. Crabb-J. R. Hubbuck et nous permet en m�ême temps de v�érifier une
conjecture due �à M. Kameko. Ce syst�ème g�én�érateur sera appliqu�é �à
l'�étude du transfert alg�ébrique de W. M. Singer et de la repr�ésentation
modulaire du groupe lin�éaire g�én�éral.

3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Palmieri/quotient

Some quotient Hopf algebras of the dual Steenrod algebra
by J. H. Palmieri

Fix a prime p, and let A be the polynomial part of the dual Steenrod
algebra.  The Frobenius map on A induces the Steenrod operation P^0 on
cohomology, and in this paper, we investigate this operation.  We
point out that if p=2, then for any element in the cohomology of A, if
one applies P^0 enough times, the resulting element is nilpotent.  We
conjecture that the same is true at odd primes, and that "enough
times" should be "once".

The bulk of the paper is a study of some quotients of A in which the
Frobenius is an isomorphism of order n.  We show that these quotients
are dual to group algebras, the resulting groups are torsion-free, and
hence every element in Ext over these quotients is nilpotent.  We also
try to relate these results to the questions about P^0.  The dual
complete Steenrod algebra makes an appearance.

4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Saneblidze-Umble/PMAfnl

Title: Diagonals on the Permutahedra, Multiplihedra and Associahedra
Authors: Samson Saneblidze, Ronald Umble
MSC: 55P35, 55U05
ArXive: math.AT/0209109

Abstract: We construct an explicit diagonal on the permutahedra
{P_n}. Related diagonals on the multiplihedra {J_n} and the associahedra
{K_n} are induced by Tonks' projection P_n --> K_{n+1} and its
factorization through J_n. We use the diagonal on {K_n} to define the
tensor product of A_infty-(co)algebras. We introduce the notion of a
permutahedral set Z, observe that the double cobar construction
Omega^{2}C_*(X) is a naturally occurring example and lift the diagonal
on {P_n} to a diagonal on Z.


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