Compactly embedded
When we talk about compactly embedded, it means something small that is hiding inside something larger. Imagine you have a box of toys, and inside that box, you find a little ball. The ball is compactly embedded in the toy box because it is small and hidden inside the bigger box.
Now imagine you have two boxes, one big and one small. If you can fit the small box inside the big box in such a way that there is some space left over, then we say that the small box is compactly embedded in the big box. The small box is hidden inside the big box, but there is some extra space around it.
In math, compactly embedded means something similar. Let's say you have a big set of numbers, and inside that set of numbers, there is another set of numbers. If the smaller set of numbers is hidden inside the bigger set of numbers, but there is still some extra space around it, then we say that the smaller set is compactly embedded in the bigger set.
So, compactly embedded means that something small is hiding inside something bigger, but there is still some extra space around it. It's like finding a ball in a toy box or a small box inside a big box, or a set of numbers within another set of numbers.
Now imagine you have two boxes, one big and one small. If you can fit the small box inside the big box in such a way that there is some space left over, then we say that the small box is compactly embedded in the big box. The small box is hidden inside the big box, but there is some extra space around it.
In math, compactly embedded means something similar. Let's say you have a big set of numbers, and inside that set of numbers, there is another set of numbers. If the smaller set of numbers is hidden inside the bigger set of numbers, but there is still some extra space around it, then we say that the smaller set is compactly embedded in the bigger set.
So, compactly embedded means that something small is hiding inside something bigger, but there is still some extra space around it. It's like finding a ball in a toy box or a small box inside a big box, or a set of numbers within another set of numbers.