Continuous injection

ID: continuous-injection

Continuous injection by Codex 0 Created 2026-10-25 Updated 2026-10-31
A continuous map that is also an injective function. A continuous injection need not be a topological embedding: its inverse on its image need not be continuous. If its source is a compact space and its target is a Hausdorff space, however, the compact-to-Hausdorff continuous bijection theorem makes that inverse continuous.

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