English

Uniqueness of BP<n>

Algebraic Topology 2015-01-08 v1

Abstract

Fix a prime number p and a non-negative integer n. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP<n> as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP<n>.

Keywords

Cite

@article{arxiv.1501.01448,
  title  = {Uniqueness of BP<n>},
  author = {Vigleik Angeltveit and John A. Lind},
  journal= {arXiv preprint arXiv:1501.01448},
  year   = {2015}
}

Comments

11 pages, comments welcome

R2 v1 2026-06-22T07:53:29.269Z