Theorem 5 : Connectedness ( union of two connected but not separated sets is connected ) Popular Videos Separated Sets | Theorem | Real Analysis | Metric Space | Point Set Topology | connectedness February 2, 2021 Convergent Sequence in R^k February 4, 2021 Limit of sequence | convergent Sequence | divergent sequence | definition | sequence and series January 30, 2021 Sub sequential limit of a sequence definition and theorem February 13, 2021 Description Union of two connected but not separated sets is connected. Connected sets | connectedness | Theorem | Real Analysis | Metric Space | Topology | connectedness in Real Analysis | Point set topology View Fullscreen PDF Notes296View Fullscreen Posted by Cheena Banga | Jan 25, 2021 | Compactness and connectedness, Real Analysis | 0 |