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 * open in (Y,Ty) and not open in R open in (Y,Ty) and open in R O...


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

Jun 05, 2022
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