(It’s the disjoint union of two “skipped” Fox–Artin wild arcs, linked together.) I think it isn’t simply connected. If that’s true, then this provides a counterexample to the following plausible conjecture: If you have two disjoint compact sets with simply connected complements, then their union also has a simply connected complement. (This would provide a counterexample, because—as you mentioned in one of your blog posts—the complement of a skipped Fox–Arron wild arc is simply connected.)

Thanks!

]]>I recognize your name and read some of your work as a graduate student.

]]>I will cite the source, of course. Thanks in advance and keep up the good work!

Benni

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