Quadratic functors on pointed categories

DOI10.1016/j.aim.2010.11.008zbMath1235.18002arXiv0810.4502OpenAlexW2087947715MaRDI QIDQ631793

Manfred Hartl, Christine Vespa

Publication date: 14 March 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4502

zbMATH Keywords

algebraic theorypolynomial functorcross-effectpointed categoryquadratic functor

Mathematics Subject Classification ID

Theories (e.g., algebraic theories), structure, and semantics (18C10) Functor categories, comma categories (18A25)

Related Items (5)

Associativity and the cosmash product in operadic varieties of algebras ⋮ MOD-2 (co)homology of an abelian group ⋮ Central reflections and nilpotency in exact Mal'tsev categories ⋮ On the ``three subobjects lemma and its higher-order generalisations ⋮ Central stability for the homology of congruence subgroups and the second homology of Torelli groups

Cites Work

• Quadratic endofunctors of the category of groups
• Quadratic functors and metastable homotopy
• Some remarks on Maltsev and Goursat categories
• Dold-Kan type theorem for \(\Gamma\)-groups
• Quadratic algebra of square groups
• Modules over operads and functors
• Polynomial maps on groups
• On the groups \(H(\Pi,n)\). II
• Foncteurs polynomiaux et foncteurs de Mackey non linéaires
• Quadratic maps between groups
• Polynomial approximation of ext and tor groups in functor categories
• Some successive quotients of group ring filtrations induced by n-series
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