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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Q:-4 which of the following statement is false: a) let a c r. then a is open if and only if a = a"cinterior set of a) b) every countable set has no limit point.
Q:-4 Which of the following statement is false: a) Let A c R. Then A is open if and only if A = A"Cinterior set of A) b) Every countable set has no limit point. c)Every element of finite set is isolated point. d) Let A cR. Interior point of A is limit point of A Q:-5 Which of the following statement is false: a) Let A c R and A is non-empty bounded above set with supA = s'and s EA. Then s is limit point of A. b) Let A c R and A is non-empty bounded below set with infA = b'and b' EA. Then b' is limit point of A c) Let A c R and A is non-empty bounded above set with supA = s'. Then s' is limit point of A. d) None of these.
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Piyush pachauri![best-answer]()
Q4 option B is false Q5 option C is false
can u give an example for isolated points
Take S = {1,2,3} , All points are isolated. For isolated point x, there exists a neighborhood which does not contain any other point other than x.