question archive Given, S and T are sets of real numbers
Given, S and T are sets of real numbers
Subject:MathPrice: Bought3
Given, S and T are sets of real numbers.Prove that S is closed iff
S is the complement set of some set open set T.
Prove by giving detailed explanation by using the formal definition only: T is open set if for all elements of T, say x, there exist some delta(>0), s.t. (x-delta,x+delta) belongs to T, ( note that delta may depend on that element, x)
