Fibration is a related term of cofibration.

As nouns the difference between fibration and cofibration

is that fibration is (algebraic topology) a continuous mapping satisfying the homotopy lifting property with respect to any space while cofibration is (mathematics) a particular form of mapping a continuous mapping $i\backslash colon\; a\; \backslash to\; x$, where a'' and ''x'' are topological spaces, is a cofibration if it satisfies the homotopy extension property with respect to all spaces ''y .