• Corpus ID: 244714615

Monoidal weak omega-categories as models of a type theory

@inproceedings{Benjamin2021MonoidalWO,
  title={Monoidal weak omega-categories as models of a type theory},
  author={Thibaut Benjamin},
  year={2021}
}
Weak ω-categories are notoriously difficult to define because of the very intricate nature of their axioms. Various approaches have been explored, based on different shapes given to the cells. Interestingly, homotopy type theory encompasses a definition of weak ω-groupoid in a globular setting, since every type carries such a structure. Starting from this remark, Brunerie could extract this definition of globular weak ω-groupoids, formulated as a type theory. By refining its rules, Finster and… 

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