Metacompact space

A metacompact space is like a big puzzle or game board. Imagine this board has many smaller pieces, like puzzle pieces, that can fit together to cover the entire board. However, these pieces might overlap each other in some places.

Now, let's say you have many of these game boards, all with the same puzzle pieces but arranged in different ways. In a metacompact space, you could find a way to take a small piece from each game board and arrange all those pieces together on one big board without any overlaps.

So, in simpler terms, a metacompact space is a space (like a puzzle or game board) with many smaller parts that can fit together to cover the entire space without any overlaps. It's like taking puzzle pieces from multiple puzzles and putting them all together in a way that fits perfectly without any conflicting or overlapping pieces.