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 not open in any of T0, T1 and T2 O O O

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 not open in any of T0, T1 and T2 O O O

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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

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