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Latest Metric Spaces Notes
The Lipshitz Condition
Proof that the Smallest Closed Set Containing a Set is the Closure of the Set
Proof that the Limit of a Uniformly Convergent Sequence of Bounded Mappings is Bounded
Proof that Intersection and Union of Closed Spaces are Closed
Proof that Every Subset of a Set is Contained in its Closure and is Closed iff it is Contained in its Closure
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Metric Spaces
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Title
A Metric on a Cartesian Product of Metric Spaces
Banach Spaces
Closure of the Reciprocal Sequence in a Metric Space
Complete Metric Spaces
Continuous Maps Between Metric Spaces
Convergence of a Sequence in a Two Dimensional Metric Space
Diameter of Subsets and Union of Subsets of a Metric Space
Equivalence of Compactness, Countable Compactness and Sequential Compactness
Introduction to Metric Spaces
Least Upper Bound Condition for a Subset of a Metric Space to be Closed
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