Higher order Whitehead products and L∞ structures on the homology of a DGL

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On Generalized Whitehead Products

We define a symmetric monodical pairing G ◦ H among simply connected co-H spaces G and H with the property that S(G◦H) is equivalent to the smash product G∧H as co-H spaces. We further generalize the Whitehead product map to a map G ◦ H → G ∨ H whose mapping cone is the cartesian product. Whitehead products have played an important role in unstable homotopy. They were originally introduced [Whi...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2017

ISSN: 0024-3795

DOI: 10.1016/j.laa.2017.01.008