A quick proof of the rational Hurewicz theorem and a computation of the rational homotopy groups of spheres

DOI10.1017/S0305004103007114zbMath1072.55010OpenAlexW2009206301WikidataQ56341536 ScholiaQ56341536MaRDI QIDQ4819126

Stephan Klaus, Matthias Kreck

Publication date: 24 September 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004103007114

zbMATH Keywords

rational homologyrational homotopyHurewicz map

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Eilenberg-Mac Lane spaces (55P20) Homotopy groups of spheres (55Q40)

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Rationally 4-periodic biquotients ⋮ The classification of compact simply connected biquotients in dimension 6 and 7 ⋮ Quantitative null-cobordism ⋮ Existence of embeddings of smooth varieties into linear algebraic groups ⋮ Poincaré duality for spaces with isolated singularities ⋮ Sobolev mappings, degree, homotopy classes and rational homology spheres ⋮ Connectivity and homology of finite subset spaces of cardinality at most four ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Topological aspects of the dynamical moduli space of rational maps ⋮ Rational manifold models for duality groups

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