In mathematics, the term "continuation map" can refer to different concepts depending on the context, particularly in the realms of topology, functional analysis, and other areas of mathematics related to the study of continuous mappings and their properties. Here are a few interpretations: 1. **Topological Continuation Map**: In topology, a continuation map may refer to a function that extends (or continues) a function defined on a smaller space to a larger space while preserving certain properties, like continuity.

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