Topology (structure)

Imagine you have a piece of paper and you draw a dot on it. The dot is a point, and the paper is the space that point is in.

Now imagine you draw another dot, but this time it's further away from the first dot. If you draw a line connecting the two dots, you have created a shape called a line segment.

If you draw more dots and connect them with line segments, you can create more shapes, like triangles or squares.

Topology is a branch of math that studies these types of shapes and how they relate to each other.

For example, imagine you have a doughnut and a coffee mug. Even though they look very different, they both have one hole in them. Topology studies these types of similarities between different shapes.

Topology also looks at things called "continuous functions" which means, basically, a way to smoothly transform or change one shape into another without breaking or tearing it.

Overall, topology is all about studying the structure and properties of different shapes and how they fit together in space.