Given the following expression of two indicator functions:
$$\mathbb{1}_{(-2,0)^2}(x,y) + \mathbb{1}_{[0,2)^2}(x,y)$$
As far as I know, indicator functions can be expressed as one, if the sets are disjoint, such that:
$$\mathbb{1}_{A \cup B} = \mathbb{1}_{A} + \mathbb{1}_{B}$$ (if A and B are disjoint).
But how can I express the union of $(-2,0)^2$ and $[0,2)^2$.
There's no easier way to represent it apart from $$(-2, 0)^2\cup[0,2)^2$$