Example · Undergraduate
Terms
| Term | This example | Why |
|---|
| inclusion map |
✓ |
The map from the unit circle $S^1$ to $\reals^2$ that sends each point to itself is the inclusion map of $S^1$ into $\reals^2$, because $S^1$ is a subset of $\reals^2$. With the subspace topology on $S^1$, this inclusion map is a topological embedding.
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| identity function |
✗ |
The map from the unit circle $S^1$ to $\reals^2$ that sends each point to itself is not an identity function, because its codomain $\reals^2$ is larger than its domain $S^1$.
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