Let \(X=\mathbb R\) with the Euclidean topology and let \(Y=\mathbb R\) with the included-point topology whose included point is \(0\). Define \[ f:X\to Y,\qquad f(t)=t-1. \] Determine whether \(f\) is continuous, and prove your answer.
Continuity into the included-point topology
P-UNL871F13-PS4.1
- Area
- Topology
- Topics
- Continuity
- Status
- draft