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 Ja,bl is: not open in any of TO, T1 and T2 O open in TO, T1 and T2 O open in TO but not open in T1 and T2 O open is TO and T1 but not open in T2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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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
Ja,b[ is: *
O not open in any of TO, 11 and 12.
O open In TO, T1 and T2
O open in TO but not open in T1 and T2
O open is TO and T1 but not open in T2
Transcribed Image 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 Ja,b[ is: * O not open in any of TO, 11 and 12. O open In TO, T1 and T2 O open in TO but not open in T1 and T2 O open is TO and T1 but not open in T2
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