User:Leigh.Samphier/Topology

Topology
User:Leigh.Samphier/Topology/Preimage of Open Sets forms Basis if Continuous Mappings Separate Points from Closed Sets

User:Leigh.Samphier/Topology/Evaluation Mapping on T1 Space is Embedding if Mappings Separate Points from Closed Sets

User:Leigh.Samphier/Topology/Regular Second-Countable Space is Homeomorphic to Subspace of Hilbert Cube

User:Leigh.Samphier/Topology/Regular Second-Countable Space is Homeomorphic to Subspace of Hilbert Cube/Lemma 1

User:Leigh.Samphier/Topology/Regular Second-Countable Space is Homeomorphic to Subspace of Hilbert Cube/Lemma 2

User:Leigh.Samphier/Topology/Subspace of Metrizable Space is Metrizable Space

User:Leigh.Samphier/Topology/Topological Space Homeomorphic to Metrizable Space is Metrizable Space

User:Leigh.Samphier/Topology/Urysohn's Metrization Theorem

User:Leigh.Samphier/Topology/Metrization of Regular Second Countable Space

User:Leigh.Samphier/Topology/Definition:Even Cover

User:Leigh.Samphier/Topology/Definition:Open Locally Finite Set of Subsets

User:Leigh.Samphier/Topology/Definition:Closed Locally Finite Set of Subsets

User:Leigh.Samphier/Topology/Definition:Sigma-Locally Finite Set of Subsets

User:Leigh.Samphier/Topology/Definition:Open Sigma-Locally Finite Set of Subsets

User:Leigh.Samphier/Topology/Definition:Sigma-Discrete Set of Subsets

User:Leigh.Samphier/Topology/Definition:Open Sigma-Discrete Set of Subsets

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 1 implies Condition 2

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 2 implies Condition 3

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 3 implies Condition 4

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 4 implies Condition 5

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 5 implies Condition 6

User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 6 implies Condition 1


 * Nagata-Smirnov Metrization Theorem


 * Bing's Metrization Theorem


 * Smirnov Metrization Theorem


 * Frink's Metrization Theorem