New posts in functors

Equivalence of two definitions of local functors

Definition of the cotensor in sSet

What is the difference betwen equivalence and isomorphism of functors in categories.

Quasi-inverse of an equivalence of categories is unique up to unique isomorphism

Exercise 1.5.xi from Emily Riehl's "Category Theory in Context" on properties of some functors

Adjunction in Abelian Categories

'Contravariance has more mathematical structure in it whereas covariance is more geometrical and easy to understand.' Is it a serious claim?

Any two natural transformations between identity functors commute

Example of a functor that doesn't reflect isomorphism

Example of a functor preserving only finite coproducts

A category of functors?

Algebraic topology for non-nice spaces

Forgetful functor from the slice category creates limits

Prove that additive functor preserves products and coproducts

Can the map sending a presentation to its group be considered as a functor?