Rational homotopy theory via Sullivan models: a survey

DOI10.4310/ICCM.2017.V5.N2.A3zbMath1383.55009arXiv1708.05245OpenAlexW2964195577MaRDI QIDQ679558

Yves Félix, Stephen Halperin

Publication date: 11 January 2018

Published in: ICCM Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05245

zbMATH Keywords

growthconfiguration spacesnilpotencedepthloop spaceshomotopy Lie algebratopological complexityLS categorySullivan modelsSullivan algebracomplement of arrangemensDG Lie modelsgroup of homotopy self-equivalencesHurewicz homomorphismsMalcev completionsmappng spacesminimal \(\wedge\)-modelsspatial realizationWhitehead products

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (4)

Formality and finiteness in rational homotopy theory ⋮ Mysterious triality and rational homotopy theory ⋮ Making Sullivan algebras minimal through chain contractions ⋮ Gaps in the Milnor-Moore spectral sequence and the Hilali conjecture

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