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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.