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Formalize the smash product as a pushout of half-smash products #1326

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fredrik-bakke opened this issue Feb 14, 2025 · 0 comments
Open

Formalize the smash product as a pushout of half-smash products #1326

fredrik-bakke opened this issue Feb 14, 2025 · 0 comments

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@fredrik-bakke
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fredrik-bakke commented Feb 14, 2025

The smash product is the pushout of the half smash products

  X ×∗ Y -----> X ⋊∗ Y
    |             |
    |             |
    ∨          ⌜  ∨
  X ⋉∗ Y -----> X ∧∗ Y.

See the module synthetic-homotopy-theory.smash-products for further details.

Following discussion with @VojtechStep in #1320 (comment)

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