New posts in Universal Property

What is the class of topological spaces $X$ such that the functors $\times X:\mathbf{Top}\to\mathbf{Top}$ have right adjoints?

Proving that the free group on two generators is the coproduct $\mathbb{Z}*\mathbb{Z}$ in $\textbf{Grp}$

Does the forgetful functor from $\mathbf{TopGrp}$ to $\mathbf{Top}$ admit a left adjoint?

Construction of Yoneda extension

Is there a concept of a "free Hilbert space on a set"?

Tensor product of monoids and arbitrary algebraic structures

What is a universal property?

Why should I care about adjoint functors

How to understand adjoint functors?

Hopf structure on the universal enveloping of a super Lie algebra