Topology

Articles
Title
Proof That a Topology Determined by a Basis is Unique
Proof That a Topology is the Discrete Topology if and Only if Every Point is an Open Set
Proof That a Topology T is a Discrete Topology on a Set X if and Only if Every Point of X is an Open Set
Proof That a totally Disconnected Space is Hausdorff
Proof That a Two Element Space With the Indiscrete Topology is Not a T0 Space
Proof That a Union of Compact Subsets of a Space is Compact
Proof That a Union of Path Connected Subsets of a Space With Non Empty Intersection is Path Connected
Proof That an Infinite Subset of a Discrete Space is Not Compact
Proof That an Open Disc in the Plane is Path Connected
Proof That an Open Subspace of a Locally Compact Space is Locally Compact

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