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 closed in R O neither closed in (Y,Ty) nor in...


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

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 closed in R O neither closed in (Y,Ty) nor in R closed in (Y,Ty) and not closed in R not closed in (Y,Ty) and closed in R

Jun 05, 2022
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