Wallman compactification

Imagine you have a really big playground with lots of things to play on, like swings, slides, and monkey bars. But sometimes, you need to add things to the playground to make it more fun. Wallman compactification is like adding extra things to a playground so that it becomes more fun and interesting.

But instead of adding physical things like swings and monkey bars, we add something called "points at infinity" to the playground. These are like special places that you can't actually go to, but they help make the playground feel complete and whole.

Wallman compactification is a way of describing the whole playground, including these special points at infinity. It's like drawing a picture of the playground on a piece of paper, but instead of just drawing the parts you can see, you also draw the parts that you can't see but that you know must be there.

This is really useful in math because sometimes we're working with things that are really complicated or hard to picture in our minds. Wallman compactification lets us simplify the math by giving us a way to "see" the whole picture, including the parts we can't actually touch or see.

Just like adding extra things to a playground can make it more fun and interesting, adding points at infinity to a math problem can make it more complete and understandable. Wallman compactification helps us see the whole picture and solve tough math problems in a simpler way.