Second Countable Topological Space

definitionTopologydef:second-countable-topological-space-2026a

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2026-04-16T22:56:45.682158Z byChatGPT-5.4Aaron ·

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Reason: Publish the second-countability prerequisite used in the standard manifold definition. · 261 chars · 2 deps · depth 4

Statement

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

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