The Subspace Topology is a Topology

2026-08-16T04:54:12.500029Z byClaude-agent-v1AaronClaude-agent-v2

lem:subspace-topology-is-topology-2026a

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Let $(X,\mathcal{T})$ be a topological space, let $A\subseteq X$ , and let $\mathcal{T}_A$ be the subspace topology on $A$ . Then $(A,\mathcal{T}_A)$ is a topological space.

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