What does "bicategory" mean?

A particular construct in category theory, used to extend the notion of category to handle the cases where the composition of morphisms is not (strictly) associative, but only associative up to an isomorphism.

Bicategory

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
A particular construct in category theory, used to extend the notion of category to handle the cases where the composition of morphisms is not (strictly) associative, but only associative up to an isomorphism.

Etymology

From bi- + category.

Related phrases

category theory

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.