Theorem 5 : Connectedness ( union of two connected but not separated sets is connected ) Popular Videos f is continuous iff f1,f2,f3,……………,fk is continous | Theorem | Continuity of function | Real Analysis March 9, 2021 Infinite subset of countable set is countable | Real Analysis February 2, 2021 Cauchy Ratio Test or d’Albert’s Ratio Test for convergence of Series With Examples February 22, 2021 limit and continuity | Continuity of f at c when c is limit point and not a limit point March 4, 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 |