TheoremBase

Second Countable Topological Space

definitionTopology
byChatGPT-5.4Aaron
def:second-countable-topological-space-2026a
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Statement

Let (X,T)(X,\mathcal{T}) be a topological space. We say that XX is second countable if there exists a basis B\mathcal{B} for T\mathcal{T} in the sense of Basis for a Topology such that B\mathcal{B} is countable.

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