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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 31st 2025
    • (edited Jan 31st 2025)

    making this a stand-alone entry (“2-sphere” used to redirect to sphere, which however ended up being about nn-spheres in generality)

    but it is just a stub for the time being. Mainly I was looking to make a home for these references on ΩS 2\Omega S^2:

    in relation to braid groups:

    • Frederick R. Cohen, J. Wu: On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere, in: Categorical Decomposition Techniques in Algebraic Topology, in Progress in Mathematics 215, Birkhäuser (2003) 93-105 [doi:10.1007/978-3-0348-7863-0_6]

    and regarded as a classifying space, ΩS 2BΩ 2S 2\Omega S^2 \,\simeq\, B \Omega^2 S^2 (for “l\mathbf{l}ine” bundles):

    v1, current