Loop (topology)

Imagine you have a piece of string with two ends. You tie the two ends together to make a circle. That's called a loop.

In math, a loop is also a circle but instead of being made out of string, it's made out of points and lines. These points and lines are called a "space".

But, in a loop space, you can move around this circle and always come back to where you started. It's like if you walked around the circle string and ended up where you started.

That's what makes a loop space special in topology. It has a special property where any path on the loop eventually returns to the starting point.