Topology Explained
Topology studies properties preserved by continuous deformation. Open sets define continuity; compactness captures finiteness; connectedness captures one-piece-ness.
📚 Fundamentals
- Open/closed sets: topology axioms
- Continuity: preimages of open sets are open
- Compactness: every open cover has a finite subcover
- Connectedness: no separation into two open, disjoint parts