Serre fibration

Summary

A Serre fibration is a continuous map $p \colon E \to B$ that has the homotopy lifting property with respect to all cubes $I^n$. It is the weak form of a fibration used most often in homotopy theory. Every Hurewicz fibration and every fiber bundle is a Serre fibration. For a Serre fibration the homotopy groups of the fiber, the total space and the base fit into the long exact sequence of homotopy groups.