omega-category

- homotopy hypothesis-theorem
- delooping hypothesis-theorem
- periodic table
- stabilization hypothesis-theorem
- exactness hypothesis
- holographic principle

- (n,r)-category
- Theta-space
- ∞-category/∞-category
- (∞,n)-category
- (∞,2)-category
- (∞,1)-category
- (∞,0)-category/∞-groupoid
- n-category = (n,n)-category
- 2-category, (2,1)-category
- 1-category
- 0-category
- (?1)-category?
- (?2)-category?

- n-poset = (n-1,n)-category
- n-groupoid = (n,0)-category

- categorification/decategorification
- geometric definition of higher category
- algebraic definition of higher category
- stable homotopy theory

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

The general concept is that of

Last revised on August 14, 2018 at 18:22:07. See the history of this page for a list of all contributions to it.