Which of the following statements is not true? (i) In any metric space (X,d) every closed ball is a closed set. (ii) In any metric space every singleton set {xo} is closed. (iii) The closure of any set A in a metric space (X,d) is a closed set.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Which of the following statements is not true?
(i) In any metric space (X,d) every closed ball is a closed set.
(ii) In any metric space every singleton set {xo} is closed.
(iii) The closure of any set A in a metric space (X,d) is a closed set.
Transcribed Image Text:Which of the following statements is not true? (i) In any metric space (X,d) every closed ball is a closed set. (ii) In any metric space every singleton set {xo} is closed. (iii) The closure of any set A in a metric space (X,d) is a closed set.
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