English

Realizing coalgebras over the Steenrod algebra

Algebraic Topology 2007-05-23 v1

Abstract

We describe algebraic obstruction theories for realizing an abstract coalgebra K_* over the mod p Steenrod algebra as the homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K_*.

Keywords

Cite

@article{arxiv.math/9912183,
  title  = {Realizing coalgebras over the Steenrod algebra},
  author = {David Blanc},
  journal= {arXiv preprint arXiv:math/9912183},
  year   = {2007}
}

Comments

AMSLATEX, 24 pages

R2 v1 2026-07-22T18:05:56.406Z