Realizing coalgebras over the Steenrod algebra

Details Realizing coalgebras over the Steenrod algebra Realizing coalgebras over the Steenrod algebra

1999-12-22

arxiv.org/abs/math/9912183v1

Mathematics

Algebraic Topology

AMSLATEX, 24 pages

Scientific paper

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_*.

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