If x is a point of Closure of a set A then each open sphere centered at x intersects A. Z.R. Bhatti

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Metric Spaces, Lec#31, Each open sphere centered at a point of closure of A intersects A. Metric Spaces, Lec#31, Each open sphere centered at a point of closure of A intersects A.
Metric Spaces | Lecture 39 | A Set is Open iff it is a Union of Open Balls Metric Spaces | Lecture 39 | A Set is Open iff it is a Union of Open Balls
If A is a subset of a metric space X, then Closure(A)={x:each open ball centered at x intersects A} If A is a subset of a metric space X, then Closure(A)={x:each open ball centered at x intersects A}
Lec#22, Each open sphere centered at limit pt x of A contains infinite points of A different from x Lec#22, Each open sphere centered at limit pt x of A contains infinite points of A different from x
Topology Definitions: Closure, Boundary, Interior Topology Definitions: Closure, Boundary, Interior
Metric Spaces | Lecture 40 | Interior Points Metric Spaces | Lecture 40 | Interior Points
Metric Spaces | Lecture 53 | Closure of a Set Metric Spaces | Lecture 53 | Closure of a Set
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