Answer to Question #323584 in Differential Geometry | Topology for Arshi

Question #323584

Show that {π‘₯} βŠ† ℝ is connected


1
Expert's answer
2022-04-07T07:46:21-0400


It should be proved that there is no such partition of {x} into two nonempty subsets which are open in the relative topology induced on {x}. Since if the first set contains x, the second subset is empty, there is no partition into nonempty subsets at all, hence {x} is connected.Β 


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