🍩
Connectedness
★★★★☆Undergraduate
📖Definition
A topological space is connected if it cannot be separated into two disjoint nonempty open sets.
📐Formulas
X ≠ U ∪ V for disjoint nonempty open U, V
Definition of connectedness
✏️Examples
예제 1
Explain why ℝ is connected.
예제 2
Show ℚ is not connected.
⚡Applications
Analysis
Intermediate value theorem
Graph Theory
Connected graphs
🔗Related Documents
→Prerequisites
←Next Topics
↔Related
#연결#위상#connected#topology