Let R be equipped with the Euclidear topology T and let Y =]10,20[. We denote by Ty the induced topology on Y by T. Then [15,20[ is closed in (Y,Ty) and not closed in R closed in (Y,Ty) and closed in R not closed in (Y,Ty) and closed in R neither closed in (Y,Ty) nor in R O O O

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Topology
Let R be equipped with the Euclidean
topology T and let Y =]10,20[. We
denote by Ty the induced topology
on Y by T. Then [15,20[ is
closed in (Y,Ty) and not closed in R
closed in (Y,Ty) and closed in R
not closed in (Y,Ty) and closed in R
neither closed in (Y,Ty) nor in R
ООО
Transcribed Image Text:Let R be equipped with the Euclidean topology T and let Y =]10,20[. We denote by Ty the induced topology on Y by T. Then [15,20[ is closed in (Y,Ty) and not closed in R closed in (Y,Ty) and closed in R not closed in (Y,Ty) and closed in R neither closed in (Y,Ty) nor in R ООО
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