Let X = {a, b, c}, T1 = {X, þ, {a}, {b}, {a,b}} and T2 = {X, ô, {a}, {c}, {a,c}}. Then one of the following is true: * the smallest topology on X containing both T1 and T2 is the discrete topology. O...

Let X = {a, b, c}, T1 = {X, þ, {a}, {b}, {a,b}} and<br>T2 = {X, ô, {a}, {c}, {a,c}}. Then one of the<br>following is true: *<br>the smallest topology on X containing both<br>T1 and T2 is the discrete topology.<br>O T1UT2 is a topology on X but T1NT2 is not<br>T1NT2 and T1UT2 are both topologies on<br>T1NT2 and T1UT2 both cannot be<br>topologies on X<br>

Extracted text: Let X = {a, b, c}, T1 = {X, þ, {a}, {b}, {a,b}} and T2 = {X, ô, {a}, {c}, {a,c}}. Then one of the following is true: * the smallest topology on X containing both T1 and T2 is the discrete topology. O T1UT2 is a topology on X but T1NT2 is not T1NT2 and T1UT2 are both topologies on T1NT2 and T1UT2 both cannot be topologies on X

Jun 04, 2022

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Let X = {a, b, c}, T1 = {X, þ, {a}, {b}, {a,b}} and T2 = {X, ô, {a}, {c}, {a,c}}. Then one of the following is true: * the smallest topology on X containing both T1 and T2 is the discrete topology. O...

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