On quadratic coalgebras, duality and the universal Steenrod algebra

Mathematics – Algebraic Topology

Scientific paper

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18 pages

Scientific paper

The notion of quadratic self-duality for coalgebras is developed with
applications to algebraic structures which arise naturally in algebraic
topology, related to the universal Steenrod algebra via an appropriate form of
duality. This explains and unifies results of Lomonaco and Singer.

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