# The Azimuth Project Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes

• John C. Baez and James Dolan?, Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes, Advances in Mathematics 135, pages 145-206, 1998. arXiv:9702014

## Idea

This paper introduces opetopes?, and uses them to give a definition of weak n-categories?. The term 2-rig was first used here.

## References

• P. Gabriel? and M. Zisman?, Calculus of Fractions and Homotopy Theory?, Ergebnisse der Math. und ihrer Grenzgebiete_, vol. 35, Springer, Berlin, 1967.

• A. Joyal?, Une théorie combinatoire des séries formelles, Advances in Mathematics 42, pages 1-82, 1981.