Path (topology)

Okay kiddo, let me try to explain what "path" means in topology in a simple way.

Imagine you are drawing a picture with crayons. You start at one point and draw a line to another point. This line is called a path.

Now, in topology, we are like artists drawing on a special kind of paper that is stretchy and flexible. We can imagine bending and stretching the paper, but we can't cut it or tear it.

When we talk about paths in topology, we mean that we are trying to find a way to get from one point to another without cutting or tearing the paper. We can twist it and turn it, but we can't make any holes.

Paths in topology are important because they help us understand how different shapes are connected. For example, if we can find a path between two points in a shape, then we know that those points are connected in some way.

So, in short, a path in topology is like a line you draw on a stretchy paper, and it helps us understand how different parts of a shape are connected. Did that make sense?