New posts in higher-category-theory

Higher categories for category theorists?

A problem on algebraic topology.

Can Spectra be described as abelian group objects in the category of Spaces? (in some appropriate $\infty$-sense)

Why is it difficult to define n-category?

When should one learn about $(\infty,1)$-categories?

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

The $2$-category of monoids

Is every infinity-category equivalent to a category? To a weak 2-category?

What's a double category with one object?

Can you explain Lawvere's work on Hegel to someone who knows basic category theory?

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

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

Pullbacks of categories

What is an intuitive Geometrical explanation of a "sheaf?"

Singular simplicial sets that are (nerves of) categories

Concrete examples of 2-categories

Composition in quasi-categories

The class $l(F)$ of morphisms which have the left lifting property with respect to $F$ is stable under transfinite compositions.

Textbooks on higher category theory