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On quadratic coalgebras, duality and the universal Steenrod algebra

2010/12/31 by Geoffrey Powell, Powell, Geoffrey · 1 citation
Mathematics · #55S10 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55S10

paper · pdf · doi:10.48550/arxiv.1101.0227

18 pages

arxiv created 2010/12/31 · openalex publication_date 2010/12/31 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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