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## "The geometry of tensor calculus, I", Andre Joyal, Ross Street, 1991

*Reviewed December 27, 2023*

*Citation:* Joyal, AndrĂ©, and Ross Street. "The geometry of tensor calculus, I." Advances in mathematics 88.1 (1991): 55-112.

*Web:* https://www.sciencedirect.com/science/article/pii/000187089190003P

*Tags:* Mathematical, Foundational

This paper is a first in a series of two articles. Together, these papers
serve as early formal uses of string diagrams to express the structures of (tensor) categories.
The other paper in the series is

> Joyal, AndrĂ©, and Ross Street. "The geometry of tensor calculus II." Unpublished draft, available from Ross Street's website 312 (1995): 313.

These papers make formal the diagrams that their contemporaries were drawing,
and proves rigorous mathematical theorems about them. This is a good "original reference" for string diagrams
in category theory.