Complement of Closed Disk in Complex Plane is Path-Connected
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Theorem
Let $R > 0$.
Let:
- $S_R = \set {z \in \C : \cmod z > R}$
Then $S_R$ is path-connected.
Proof
This theorem requires a proof. In particular: Someone else can take this, we should probably have a diagram You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |