Loop Spaces of Finite Complexes at Large Primes

DOI10.2307/2046328zbMath0594.55006OpenAlexW4236644084MaRDI QIDQ3725182

C. A. McGibbon, Clarence W. jun. Wilkerson

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046328

zbMATH Keywords

rational homotopy theoryloop spacehomotopy exponentloop spaces of odd dimensional spheresmod p homotopy typeproduct of odd dimensional spheres

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05) Loop spaces (55P35)

Related Items (15)

On the growth of homotopy groups ⋮ Hopf Algebras up to Homotopy ⋮ Exponential growth of homotopy groups of suspended finite complexes ⋮ Modular representations and the homotopy of low rank \(p\)-local \(CW\)-complexes ⋮ Decompositions of certain loop spaces. ⋮ The Serre spectral sequence of a multiplicative fibration ⋮ Homotopy type of mapping spaces and existence of geometric exponents ⋮ The loop space homotopy type of simply-connected four-manifolds and their generalizations ⋮ On the cohomology algebra of a fiber ⋮ Elliptic spaces ⋮ Homotopy groups of highly connected manifolds ⋮ Single Loop Space Decompositions ⋮ Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets. (The effect of attaching cells to the homology of loop spaces) ⋮ Moore's conjecture for polyhedral products ⋮ Loop space homology -- problems and questions

Cites Work

• Unnamed Item
• On the suspension sequence
• A loop space whose homology has torsion of all orders
• Torsion in homotopy groups
• Finiteness in the Minimal Models of Sullivan

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