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Exam 2 - Math 470
EXM 2 - MATH 470
EXM 2 - MATH 470
EXAM 2 - MATH 470 open A set O contained in R is open if for all a in O there exists epsilon greater than 0 s.t. V_epsilon(a) is contained in O. Union and intersection theorem (i) The union of any arbitrary collection of open sets is an open set. (ii) The intersection of any finite collection of open sets is an open set. limit point A point x is a limit point of a set A if, for all epsilon >0, the set v_epsilon(x) n A contains a point other than x. limit point theorem A point x ...
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