Canonical injections of the disjoint union topology

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Definition

(Definition here - this has to do with the disjoint union topology)

Claim 1: $\forall\beta\in I[i_\beta:X_\beta\rightarrow\coprod_{\alpha\in I}X_\alpha$ is continuous$]$

Proof of claims

Claim 1: Continuity of the canonical injections

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Important proof, done on paper. Belongs on this page

See also

• The canonical injections of the disjoint union topology are topological embeddings