Lift (mathematics)

In mathematics, "lift" can refer to several concepts depending on the context in which it is used. Here are a few common interpretations: 1. **Topology and covering spaces**: In topology, a lift often refers to the process of finding a "lifting" of a path or a continuous function from a space \(Y\) to another space \(X\) through a covering space \(p: \widetilde{X} \rightarrow X\).