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Topology
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Title
Proof That a Cartesian Product of Bases is a Basis For The Product
Proof That a Cartesian Product of Topological Spaces is a Topological Space
Proof That a Closed Interval in R is the Union of Countably Many Closed Sets and the Intersection of Countably Many Open Sets
Proof That a Closed Subset of a Compact Space is Compact
Proof That a Closed Subset of a Countably Compact Space is Countably Compact
Proof That a Closed Subspace of a Locally Compact T2 Space is Locally Compact
Proof That a Closed Subspce of a Complete Metric Space is Complete
Proof That a Compact Locally Connected Space Has a Finite Number of Components
Proof That a Compact Set is Countably Compact
Proof That a Compact Space is Lindelof
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