HOMEWORKS
Homework 10 (2 points).
Prove that the map from \(\mathbf{Group}\) to itself, sending a group to its
commutator, cannot be made a functor.
The statement to prove was wrong: the map sending a group to
its commutator, is a functor!
Homework 11 (0.5 points).
Give an example of a category which is isomorphic to its own opposite.
Homework 13 (1 point).
Is it true that for any two monoids \(M\) and \(N\), the categories
\(\mathbf{C}_M\) and \(\mathbf{C}_N\) are equivalent if and only if they are
isomorphic?
Homework 14 (1 point).
Whether there exist two equivalent categories, one of which is small, and
another is large?
Created: Fri Oct 23 2020
Last modified: Thu Nov 28 2024 21:59:08 CET