Anick spaces and Kac-Moody groups

DOI10.2140/agt.2018.18.4305zbMath1408.55008OpenAlexW2905297556MaRDI QIDQ1713061

Jie Wu, Stephen D. Theriault

Publication date: 24 January 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2018.18.4305

zbMATH Keywords

Moore spaceloop spaceKac-Moody groupAnick space\(p\) primary homotopy exponent\(p\)-local homotopy equivalence

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Loop spaces (55P35) Homotopy groups of topological groups and homogeneous spaces (57T20)

Cites Work

• An elementary construction of Anick's fibration
• The double suspension and exponents of the homotopy groups of spheres
• Odd primary torsion in \(\pi_k(S^3)\)
• Torsion in homotopy groups
• Product decompositions of the double loops on odd primary Moore spaces
• Atomicity for Anick's spaces
• Relative homotopy abelian \(H\)-spaces
• On the topology of Kac-Moody groups
• A generalization of the homology and homotopy suspension
• On iterated suspensions. I, II
• Primary homotopy theory
• Single Loop Space Decompositions
• Abelian Properties of Anick Spaces
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