Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn

Details Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn

2010-05-04

arxiv.org/abs/1005.0567v1

Mathematics

Algebraic Topology

Scientific paper

On d\'emontre une conjecture due \`a N. Kuhn concernant la cohomologie singuli\`ere \`a coefficients mod p des espaces, comme module instable sur l'alg\`ebre de Steenrod. Notre d\'emonstration de ce r\'esultat, d\'ej\`a connu en caract\'eristique 2, fait appel \`a une m\'ethode nouvelle, qui fonctionne en toute caract\'eristique. De cette mani\`ere on r\'etablit le r\'esultat de [S98] dont la preuve est incompl\`ete dans le cas d'un nombre premier impair. We settle a conjecture due to N. Kuhn about the mod p cohomology of spaces considered as unstable modules over the Steenrod algebra. This result is already known to hold in characteristic 2. The method presented here is essentially new and works for all characteristics. In doing so we fix a gap in [S98] concerning the odd prime case.

Affiliated with

Also associated with

No associations

Rating

Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications depuis K(Z/p, 2) et une conjecture de N. Kuhn will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532392