Prove that B = {(a,b) x (c,d) | a,b,c,d EQ, a<b, c<d} is a basis for...

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Prove that B = {(a,b) x (c,d) | a,b,c,d EQ, a<b, c<d} is a basis for some topology on R2.

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Prove that if |A| = |Band [B<|A|, then |A| = |B).

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Prove that B = {(a,b) x (c,d) | a,b,c,d EQ, a<b, c<d} is a basis for...

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