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 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

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 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

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 6E

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Question

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

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