The realization space of a \(\Pi\)-algebra: a moduli problem in algebraic topology

DOI10.1016/j.top.2003.10.002zbMath1054.55007OpenAlexW1990722760MaRDI QIDQ1876209

David Blanc, William G. Dwyer, Paul G. Goerss

Publication date: 16 August 2004

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2003.10.002

zbMATH Keywords

simplicial spaces\(\Pi\)-algebras

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Postnikov systems, (k)-invariants (55S45) Homotopy functors in algebraic topology (55P65)

Related Items (15)

Obstruction theory for algebras over an operad ⋮ Interpolation categories for homology theories ⋮ Truncated resolution model structures ⋮ On realizing diagrams of \(\Pi\)-algebras ⋮ Postnikov extensions of ring spectra ⋮ The homotopy automorphisms of a marked n-stage ⋮ Moduli of spaces with prescribed homotopy groups ⋮ The realizability of operations on homotopy groups concentrated in two degrees ⋮ Higher homotopy operations and André-Quillen cohomology ⋮ Note on Toda brackets ⋮ Local-to-global spectral sequences for the cohomology of diagrams ⋮ Comparing cohomology obstructions ⋮ Moduli spaces of 2-stage Postnikov systems ⋮ Abstract Goerss-Hopkins theory ⋮ On simplicial commutative algebras with noetherian homotopy

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