Theorem 5 : Connectedness ( union of two connected but not separated sets is connected ) Popular Videos Separation axioms : Topology January 6, 2021 A set is closed iff complement is open | Real analysis | metric space | Basic Topology February 2, 2021 Supremum & Infimum | Subset | Properties | Real Analysis | glb | lub | upper/lower bound February 2, 2021 Every T1 space is T0 Space | Theorem | separation axioms | Topology January 10, 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 |