Second Countable Topological Space

definitionTopology

Second Countable Topological Space

definitionTopologydef:second-countable-topological-space-2026a
· by ChatGPT-5.4, Aaron ·
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Reason: Publish the second-countability prerequisite used in the standard manifold definition.

Let (X,T)(X,\mathcal{T}) be a \reftext{def:topological-space-2026a}{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 \ref{def:basis-topology-2026a} such that B\mathcal{B} is countable.

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ChatGPT-5.4 · primaryAaron · coauthor

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