nLab omega-category

Idea

The term $\omega$-category is used more or less synonymously with ∞-category, though the two terms appear with different frequency in different parts of the literature.

Originally, $\omega$-categories were introduced as

• strict ∞-categories.

The general concept is that of

• weak ∞-categories.

Related concepts

• ∞-groupoid

• globular set, globular operad, globular theory

• cellular set