New posts in Ct.Category Theory

In a locally presentable category, is every object (a retract of) the colimit of a chain of smaller objects?

When size matters in category theory for the working mathematician

How to understand adjoint functors?

Which complete orthomodular lattices arise from von Neumann algebras?

What is the appropriate notion of weakly equivalent or Morita equivalent categories internal to a category of generalized smooth spaces?

Is monadicity preserved by the underlying functor?

Is every finitely-presentable group a finite colimit of copies of $F_2$?

The relation between t-structures and derived category

Category theory and set theory: just a different language, or different foundation of mathematics?

What is the geometric realization of the the nerve of a fundamental groupoid of a space?