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I like when mathematicians do names right
the concept of a connected set is exactly what you think of when you see the words connected set
then you go and add "doubly connected set" and then the intuition all falls apart
I like when mathematicians do names right
the concept of a connected set is exactly what you think of when you see the words connected set
then you go and add "doubly connected set" and then the intuition all falls apart
(it does still make sense if you see it like this though: in a simply connected set, any cut made between two points on the boundary results in an unconnected set. In a doubly connected set, though, there are cuts between boundary points that result in simply connected sets, meaning you can make two cuts before it becomes unconnected)