Finite presheaves and \(\mathscr{A}\)-finite generation of unstable algebras mod nilpotents

DOI10.5802/aif.3292zbMath1444.55010arXiv1707.07468OpenAlexW2974134443MaRDI QIDQ2326270

Geoffrey M. L. Powell

Publication date: 7 October 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07468

zbMATH Keywords

Steenrod algebrafinite generationpolynomial functorunstable algebrapresheafnilpotentsunstable Hopf algebra

Mathematics Subject Classification ID

Steenrod algebra (55S10) Applied homological algebra and category theory in algebraic topology (55U99) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Cites Work

• Deconstructing Hopf spaces
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Group rings and their augmentation ideals
• Quadratic endofunctors of the category of groups
• Sur les groupes d'homotopie des espaces dont la cohomologie modulo 2 est nilpotente. (On the homotopy groups of spaces whose cohomology mod 2 is nilpotent)
• The Krull filtration of the category of unstable modules over the Steenrod algebra
• On the structure of Hopf algebras
• Computations in generic representation theory: maps from symmetric powers to composite functors
• The Categories of Unstable Modules and Unstable Algebras Over the Steenrod Algebra Modulo Nilpotent Objects
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Hopf Algebras and Multiplicative Fibrations II
• Cohomology Theory of Abelian Groups and Homotopy Theory II
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