Let X = (a, b, c, d), and consider B1 = {{a}, {b}. {c,d}} and B2 = {{a,b}, {c,d}, {b,d}}. Then B1 and B2 are not bases for a topology on X O B1 is a basis for a topology on X but B2 is not O B2 is a...

Let X = (a, b, c, d), and consider B1 = {{a}, {b}. {c,d}} and B2 = {{a,b}, {c,d}, {b,d}}.<br>Then<br>B1 and B2 are not bases for a topology on X<br>O B1 is a basis for a topology on X but B2 is not<br>O B2 is a baSis for a topology on X but B1 is not<br>B1 and B2 are both bases for a topology on X<br>

Extracted text: Let X = (a, b, c, d), and consider B1 = {{a}, {b}. {c,d}} and B2 = {{a,b}, {c,d}, {b,d}}. Then B1 and B2 are not bases for a topology on X O B1 is a basis for a topology on X but B2 is not O B2 is a baSis for a topology on X but B1 is not B1 and B2 are both bases for a topology on X

Jun 04, 2022

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Let X = (a, b, c, d), and consider B1 = {{a}, {b}. {c,d}} and B2 = {{a,b}, {c,d}, {b,d}}. Then B1 and B2 are not bases for a topology on X O B1 is a basis for a topology on X but B2 is not O B2 is a...

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