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Jakobian
Jakobian
11:21 PM
in Mathematics, 3 hours ago, by Soumik Mukherjee
Is there a connected space $X$ such that there are two points $a,b$ in $X$ such that both $X\setminus \{a\}$ and $X\setminus \{b\}$ are totally disconnected?
Only examples are Sierpiński space and two point indiscrete space as witnessed here
 

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