A loop space whose homology has torsion of all orders

DOI10.2140/pjm.1986.123.257zbMath0553.55005OpenAlexW2055404730MaRDI QIDQ802168

David J. Anick

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.123.257

zbMATH Keywords

graded algebrasHurewicz maptorsion in the homology groups of loop spacestorsion in the homotopy groups of loop spaces

Mathematics Subject Classification ID

Loop spaces (55P35) Bar and cobar constructions (57T30) Homology and cohomology of (H)-spaces (57T25)

Related Items (7)

A nonnilpotent 1-2-presented graded Hopf algebra whose Hilbert series converges in the unit circle ⋮ Decompositions of certain loop spaces. ⋮ Loop Spaces of Finite Complexes at Large Primes ⋮ Torsion in loop space homology of rationally contractible spaces ⋮ Single Loop Space Decompositions ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ Loop space homology -- problems and questions

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