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Lie algebra properties of generalised Whitehead products #1170

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Lie algebra properties of generalised Whitehead products #1170

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@aljungstrom aljungstrom commented Nov 15, 2024 •
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This (draft) PR so far contains:

  • Main result: (appropriate versions of) bilinearity, 'graded' commutativity and the Jacobi identity for generalised Whitehead products. These are all found in Cubical.Homotopy.WhiteheadProducts.Generalised.Properties
  • Some refactoring: gave Whitehead products their own file under Cubical.Homotopy.
  • Co-H-Space structure on joins.

WIP:

  • Lift everything to WH products on homotopy groups -- all results are in the library, just a matter of combining them...
  • Cleaning (lol)

@aljungstrom aljungstrom marked this pull request as draft November 15, 2024 01:34
@aljungstrom aljungstrom changed the title Lie algebra properties of generalised whitehead products Lie algebra properties of generalised Whitehead products Nov 15, 2024
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