Trivial topology

Okay kiddo, let's talk about trivial topology. Imagine you have a big piece of paper with a bunch of dots on it. Each dot is a point, like when you play connect the dots. Now, let's say you want to draw some lines to connect the points. But instead of just any way, you want to connect each point to every other point. That means if you have 5 dots, you'll draw 5 lines from each dot to the other 4 dots.

This is kind of what trivial topology is. You have a set of points, and you draw lines to connect each point to every other point. It's called "trivial" because there is only one possible way to draw the lines - you just connect each point to all the others.

Now, let's say you want to talk about open sets. An "open set" is a fancy way of saying a group of points that are really close together. In trivial topology, the only open sets you have are the whole set of points (because all the points are connected to each other) and the empty set (because there are no points to be close together).

So, to sum it up, trivial topology is when you have a set of points and connect each point to every other point, creating a unique set of open sets.