Suppose that R (the set of real numbers) is equipped by TO (the Euclidean topology), T1 (the discrete topology) and T2 (the finite closed topology). Then ]a,b] is: * open is TO and T1 but not open in...

Suppose that R (the set of real<br>numbers) is equipped by TO (the<br>Euclidean topology), T1 (the discrete<br>topology) and T2 (the finite closed<br>topology). Then ]a,b] is: *<br>open is TO and T1 but not open in T2<br>open in TO, T1 and T2<br>open in T1 but not open in TO and<br>T2<br>O not open in any of TO, T1 and T2<br>

Extracted text: Suppose that R (the set of real numbers) is equipped by TO (the Euclidean topology), T1 (the discrete topology) and T2 (the finite closed topology). Then ]a,b] is: * open is TO and T1 but not open in T2 open in TO, T1 and T2 open in T1 but not open in TO and T2 O not open in any of TO, T1 and T2

Jun 04, 2022

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Suppose that R (the set of real numbers) is equipped by TO (the Euclidean topology), T1 (the discrete topology) and T2 (the finite closed topology). Then ]a,b] is: * open is TO and T1 but not open in...

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