New posts in Higher Category Theory

When is a category the colimit of its slice categories

composition and invertibility of 2-morphisms in a quasi-category

Why is it that homotopy is better described by weak equivalences than by homotopies?

The $2$-category of monoids

What's a double category with one object?

"Alternatives" to Natural Transformations

A categorical perspective on the equivalence of sheaf cohomology and Cech cohomology?

question about monoidal structure of a 2-category

How to construct a quasi-category from a category with weak equivalences?

Why is the 'mapping space' between two objects in a quasi-category a Kan complex?