8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = Ã – int A A - int A %D (ii) Fr(A) = 0 if and only if A is both open and closed %3D (iii) A is closed if and only...


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8. Let (X, d) be a metric space, and A, B are subset of X, then<br>(i) Fr(A) = A n (A)° = Ã – int A<br>A - int A<br>%D<br>(ii) Fr(A) = 0 if and only if A is both open and closed<br>%3D<br>(iii) A is closed if and only if A Fr(A)<br>ini<br>(A mi)<br>(iv) A is open if and only if A° 2 Fr(A)<br>(v) Fr(AnB) C Fr(A) U Fr(B). The equality holds if A N B = ¢<br>(vi) Fr(int A) C Fr(A).<br>%3D<br>bas amonoori mort wollo<br>

Extracted text: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = Ã – int A A - int A %D (ii) Fr(A) = 0 if and only if A is both open and closed %3D (iii) A is closed if and only if A Fr(A) ini (A mi) (iv) A is open if and only if A° 2 Fr(A) (v) Fr(AnB) C Fr(A) U Fr(B). The equality holds if A N B = ¢ (vi) Fr(int A) C Fr(A). %3D bas amonoori mort wollo

Jun 04, 2022
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