Quasi-fibration
Ok kiddo, a quasi-fibration is like playing a game of tag. When someone is "it", they have to chase after the other players to try and tag them. But, the other players don't want to be tagged, so they move around and try to avoid getting tagged.
In math, we have something called a map that goes from one thing to another thing. A quasi-fibration is a special kind of map that's like playing tag because one thing (the "it" thing) is trying to catch the other thing (the "avoiding" thing).
The "it" thing is called the fiber and the "avoiding" thing is called the base. The fiber is like the players who are trying to catch the other players, and the base is like the players who are trying to avoid getting caught.
When the fiber tries to catch the base, it has to move around and change shape to try and catch it. But, the base is also moving around and changing shape to try and avoid getting caught.
So, a quasi-fibration is like a game of tag between two things (the fiber and the base) where both things are trying to move around and avoid getting caught or trying to catch the other thing.
In math, we have something called a map that goes from one thing to another thing. A quasi-fibration is a special kind of map that's like playing tag because one thing (the "it" thing) is trying to catch the other thing (the "avoiding" thing).
The "it" thing is called the fiber and the "avoiding" thing is called the base. The fiber is like the players who are trying to catch the other players, and the base is like the players who are trying to avoid getting caught.
When the fiber tries to catch the base, it has to move around and change shape to try and catch it. But, the base is also moving around and changing shape to try and avoid getting caught.
So, a quasi-fibration is like a game of tag between two things (the fiber and the base) where both things are trying to move around and avoid getting caught or trying to catch the other thing.