Intersection symbols

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I am writing a scientific paper. I need to express the intersection of two space, e.g. A and B where A and B can be a line, plane or a 3-D space. What is the appropriate symbol to state this concept. I used the intersections used in the set theory. Is it correct? Thank you! Amir

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A line, plane or 3-D space are a set of points. So you could use the standard intersection symbol $\cap$ to take the intersection between any two sets.