Semi-reflexive space

Ok, imagine you're playing a game of catch with a friend. You throw the ball to them and they throw it back to you. This back-and-forth is a bit like what happens in a semi-reflexive space.

A space is like a big empty room where things can happen. Some spaces are special because they have certain properties. A semi-reflexive space is one of those special spaces.

In a semi-reflexive space, you can think of the elements in the space as people playing catch with each other. But instead of a ball, they are throwing mathematical objects to each other.

Now, here's where it gets a little complicated. In a semi-reflexive space, each element can throw the object back to itself or to another element. It's like they are playing catch with themselves and their friends at the same time.

Think of it like when you throw a ball up into the air and catch it again. You are playing catch with yourself!

So, in a semi-reflexive space, elements can play catch with themselves or with their friends. This means that the space has a certain symmetry or balance to it. It's kind of like a game of catch where everyone is always involved and no one is left out.

That's the basic idea of a semi-reflexive space. It's a space where elements can play catch with themselves and others, which creates a special kind of symmetry.