Intersection of Product spaces

math8

Give an example where
(A1 intersect A2)X(B1 intersect B2) is strictly contained in (A1XB1)intersect (A2XB2).

For the union instead of the intersection I can see the reverse strict containment easily just by drawing. But for the intersection for some reason, I cannot see when the containment can be strict.

tiny-tim

Hi math8!

I think you're right … I think they're the same.

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math8	Intersection of Product spaces Tweet Give an example where (A1 intersect A2)X(B1 intersect B2) is strictly contained in (A1XB1)intersect (A2XB2). For the union instead of the intersection I can see the reverse strict containment easily just by drawing. But for the intersection for some reason, I cannot see when the containment can be strict.

tiny-tim Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor	Hi math8! I think you're right … I think they're the same.