English

Steenrod coalgebras

Algebraic Topology 2015-03-09 v9

Abstract

This paper shows that a functorial version of the "higher diagonal" of a space used to compute Steenrod squares actually contains far more topological information --- including (in some cases) the space's integral homotopy type.

Keywords

Cite

@article{arxiv.1401.3618,
  title  = {Steenrod coalgebras},
  author = {Justin Smith},
  journal= {arXiv preprint arXiv:1401.3618},
  year   = {2015}
}

Comments

44 pages. Accepted for Topology and its Applications. AFTER approving the proofs, I found two typos in the statement of the main result (2 characters out place) in the introduction. The statements of the main result in the paper's interior are correct

R2 v1 2026-06-22T02:46:13.221Z