Tor functor

Okay kiddo, do you know what a functor is? A functor is like a machine that takes things in and spits things out in a special way. Let's say we have a machine that takes normal numbers and doubles them. That's a functor, it doubles whatever we put into it.

Now, TOR is a special type of functor that helps us understand something called homology. Homology is like a way of measuring how much holes there are in something. Let's say we have a donut and a coffee mug. They both have one hole in them, right? But what if we have a pretzel? It has two holes! Homology helps us keep track of these holes.

Now, imagine we have a bunch of shapes and we want to compare how many holes they have. We can use the TOR functor to help us do this. It takes in these shapes and spits out numbers that tell us how many holes they have.

So in summary, TOR is a special machine that helps us count the holes in shapes using something called homology.