On the form of potential spherical classes in $H_*Q_0S^0$

Details On the form of potential spherical classes in $H_*Q_0S^0$ On the form of potential spherical classes in $H_*Q_0S^0$

2009-09-21

arxiv.org/abs/0909.3795v1

Mathematics

Algebraic Topology

25 pages

Scientific paper

This note is about spherical classes in $H_*Q_0S^0$. A conjecture, due to Ed. Curtis, predicts that only Hopf invariant one and Kervaire invariant one elements will give rise to spherical classes in $H_*Q_0S^0$. Yet, there has been no proof of this conjecture around. Assuming that this conjecture fails, there must exist some other spherical classes in $H_*Q_0S^0$. This note determines the form of these potential spherical classes, and sets the target for someone who wishes to prove the conjecture, in the sense that correctness of the Curtis conjecture will be the same as failure of any classes predicted in this paper being spherical.

Affiliated with

Also associated with

No associations

Rating

On the form of potential spherical classes in $H_*Q_0S^0$ 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 On the form of potential spherical classes in $H_*Q_0S^0$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the form of potential spherical classes in $H_*Q_0S^0$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432994