The Steenrod problem of realizing polynomial cohomology rings

DOI10.1112/jtopol/jtn021zbMath1160.55001arXiv0704.4002OpenAlexW3101132608MaRDI QIDQ5502829

Kasper K. S. Andersen, Jesper Grodal

Publication date: 9 January 2009

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.4002

zbMATH Keywords

classifying spaceshomology of classifying spacescommutative Noetherian ringsingular theorygraded polynomial rings

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Singular homology and cohomology theory (55N10)

Related Items

Unnamed Item ⋮ The loop cohomology of a space with the polynomial cohomology algebra ⋮ Realization of graded monomial ideal rings modulo torsion ⋮ Moduli spaces of 2-stage Postnikov systems ⋮ On the realizability of group actions ⋮ The bitwisted Cartesian model for the free loop fibration ⋮ The classification of 2-compact groups

Cites Work

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• On group homomorphisms inducing mod-\(p\) cohomology isomorphisms
• The cohomology algebra of a space
• Universelle Koeffizienten
• Constructing modular classifying spaces
• Fake Lie groups and maximal tori. II
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• A note on realizing polynomial algebras
• Homotopical uniqueness of classifying spaces
• The normalizer of the Weyl group
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Strong convergence of the Eilenberg-Moore spectral sequence
• Torsion in reductive groups
• The realization of polynomial algebras as cohomology rings
• Applications of minimal simplicial groups
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Classifying spaces, Steenrod operations and algebraic closure
• Finite H-spaces and algebras over the Steenrod algebra
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• A finite loop space not rationally equivalent to a compact Lie group
• Steenrod squares and H-spaces. II
• The classification of \(p\)-compact groups for \(p\) odd
• Finiteness conditions for CW-complexes. I, II.
• Subgroups of finite dimensional topological groups
• On the cohomology and K-theory of the general linear groups over a finite field
• Homotopy limits, completions and localizations
• Steenrod squares and \(H\)-spaces
• Homologie singulière des espaces fibrés. Applications
• The classification of 2-compact groups
• Homological Dimension in Noetherian Rings.
• Direct Products of Modules
• Quasisymmetric functions from a topological point of view
• On the Realization of Invariant Subgroups of π ∗ (X)
• A New Finite Loop Space at the Prime Two
• Kähler Differentials, the $T$-functor, and a Theorem of Steinberg
• Spaces with polynomial mod-p cohomology
• Projective Resolutions and Poincare Duality Complexes
• Injective Dimension in Noetherian Rings
• Finite Unitary Reflection Groups

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