### Abstract

This theory formalises a definition of strict $\omega$-categories and the strict $\omega$-category of pasting diagrams. It is the first step towards a formalisation of weak infinity categories à la Batanin–Leinster.

### License

BSD License

### Topics

- Mathematics/Category theory

### Related publications

- Leinster, T. (2004). Higher Operads, Higher Categories. https://doi.org/10.1017/cbo9780511525896

### Session StrictOmegaCategories

- Globular_Set
- Strict_Omega_Category
- Pasting_Diagram

## Cite

×

StrictOmegaCategories-AFP

    @article{StrictOmegaCategories-AFP,
      author  = {Anthony Bordg and Adrián Doña Mateo},
      title   = {Strict Omega Categories},
      journal = {Archive of Formal Proofs},
      month   = {January},
      year    = {2023},
      note    = {\url{https://isa-afp.org/entries/StrictOmegaCategories.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

Download

## Download

× Download latest

Older releases:

- Sep 13, 2023 : Isabelle2023
- Jan 16, 2023 : Isabelle2022