Topological ring

Imagine you have a circle made of soft clay. Now imagine you can stretch and pull this circle in any way you want, but you can't break or cut it. This is called a topological circle.

A topological ring is similar, but instead of a circle, it's a shape that looks like a ring. Just like the circle, you can stretch and pull the ring in any way you want, without cutting or breaking it. It's a special type of shape that mathematicians study because it has some interesting properties.

Now imagine you can do math with this topological ring. You can add, subtract, multiply, and divide different parts of the ring. Just like regular math, there are certain rules you have to follow. For example, when you add two parts of the ring together, you have to make sure they connect properly, without any gaps or overlaps.

When a topological ring follows these rules perfectly, we call it a topological ring. It's a special type of mathematical object that combines the properties of a ring and a topological space. These objects are useful in many different areas of mathematics and are studied by mathematicians all over the world.