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Post Closed as "Not suitable for this site" by Dan Petersen, Jeremy Rickard, Moishe Kohan, Karl Schwede, Brian Hopkins
edited body; edited title
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Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed diskball of some dimension?

Question: Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed diskball of some dimension?

This post doesn't quite answer my question because it is about open sets.

Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed disk of some dimension?

Question: Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed disk of some dimension?

This post doesn't quite answer my question because it is about open sets.

Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed ball of some dimension?

Question: Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed ball of some dimension?

This post doesn't quite answer my question because it is about open sets.

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Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed disk of some dimension?

Question: Is every compact contractible subset of $\mathbb{R}^n$ homeomorphic to a closed disk of some dimension?

This post doesn't quite answer my question because it is about open sets.