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...

Topology


Extracted 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