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edited Aug 30, 2022 at 9:15

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A Jordan Arcarc in the unit disk

Let D$D$ be the open unit disk, and J$J$ a Jordan arc (that is, a homeomorphhomeomorphic copy of [0, 1]$[0, 1]$) that lies in D$D$, except J(0)$J(0)$ lies on the boundary of D$D$, say J(0)=1$J(0)=1$. I would like to see that D\J([0, 1])$D\smallsetminus J([0, 1])$ is a path connected-connected topological space. Please help, if you can. Thanks!

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edited Aug 30, 2022 at 9:12

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real-analysis gn.general-topology ca.classical-analysis-and-odes jordan-curve-theorem jordan-curves

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edited Aug 30, 2022 at 9:01

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real-analysis gn.general-topology ca.classical-analysis-and-odes gn.general-topology tag-removed jordan-curve-theorem

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asked Jul 23, 2010 at 5:32

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