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Topic: Dodging Holes in the Plane
Replies: 1   Last Post: Aug 28, 2017 5:45 PM

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William Elliot

Posts: 2,634
Registered: 1/8/12
Dodging Holes in the Plane
Posted: Aug 28, 2017 9:07 AM
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If the union of a countable pairwise disjoint collection of
bounded, simply connected open sets is removed from the real
plain, is the result path connected?

If the union of a countable pairwise disjoint collection of
simply connected compact sets with non-empty interior, is
removed from the real plain, is the result path connected?

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