# Canonical injections of the disjoint union topology

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## Contents

## Definition

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

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

## Proof of claims

### Claim 1: Continuity of the canonical injections

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Important proof, done on paper.

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