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Timeline for Domains of type (A) are Lipschitz?

Current License: CC BY-SA 4.0

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Aug 23 at 11:49 comment added Iosif Pinelis @Bogdan : I guess the author wanted to also cover the cases such as two open balls that are disjoint but with a common boundary point.
Aug 23 at 5:12 comment added Bogdan So, it seems that the number of connected components of $B_p(s)\cap\Omega$ has no importance. Then why the author gives the definition in this more complicated way?
Aug 23 at 5:09 vote accept Bogdan
Aug 22 at 21:41 history edited Iosif Pinelis CC BY-SA 4.0
added 17 characters in body
Aug 22 at 21:20 history answered Iosif Pinelis CC BY-SA 4.0