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Oct 16, 2014 at 11:59 comment added Avshalom There is a related link about tacks: mathoverflow.net/questions/27244/…
Oct 16, 2014 at 11:10 comment added Avshalom Right; I incorporate your observations with thanks.
Oct 16, 2014 at 11:08 history edited Avshalom CC BY-SA 3.0
added 102 characters in body; incorporated bof's observation
Oct 16, 2014 at 11:07 comment added bof In fact, that's true even for homeomorphs of $Y$-sets; only countably many can be packed in the plane. R. L. Moore's triod theorem is a generalization of that fact.
Oct 16, 2014 at 11:00 history answered Avshalom CC BY-SA 3.0