Strong topology

Alright kiddo, let me try to explain strong topology in a way you can understand.

Imagine you have a bunch of toys, maybe dolls or action figures, and you want to put them away in different places in your room. You decide to put your favorite toys in a special drawer next to your bed, and the other toys in a big box by your closet.

Now, let's say you want to find one specific toy, like your favorite doll, quickly and easily. You know that it's in the special drawer next to your bed, because that's where you put all your favorite toys.

This is kind of like what strong topology is. Imagine that the toys are actually mathematical functions, and the places you put them away are different spaces where those functions live. The strong topology is a way to organize those spaces so that it's easy to find the functions you're looking for.

In math, we use something called the "norm" of a function to measure how big or small it is. The strong topology is a way to group functions together based on how close they are to each other, according to their norms.

So, just like you put all your favorite toys together in one place, the strong topology groups together all the functions with similar norms. This makes it easier to do math with those functions, because you know where to find them and how they relate to each other.

I hope that helps you understand what strong topology is. If you have any questions or want more toys... I mean, explanations, just let me know!