$BP$: Close encounters of the $E_\infty$ kind

Details $BP$: Close encounters of the $E_\infty$ kind $BP$: Close encounters of the $E_\infty$ kind

2012-04-22

arxiv.org/abs/1204.4878v2

Mathematics

Algebraic Topology

26/04/2012 version 2 Minor corrections, additional reference and comments in Introductiion

Scientific paper

Inspired by Stewart Priddy's cellular model for the $p$-local Brown-Peterson spectrum $BP$, we give a construction of a $p$-local $E_\infty$ ring spectrum $R$ which is a close approximation to $BP$. Indeed we can show that if $BP$ admits an $E_\infty$ structure then these are weakly equivalent as $E_\infty$ ring spectra. Our inductive cellular construction makes use of power operations on homotopy groups to define homotopy classes which are then killed by attaching $E_\infty$ cells.

Affiliated with

Also associated with

No associations

Rating

$BP$: Close encounters of the $E_\infty$ kind 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 $BP$: Close encounters of the $E_\infty$ kind, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $BP$: Close encounters of the $E_\infty$ kind will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522791