A fibration is a map with the homotopy lifting property. A Hurewicz fibration has this property for every source space; a Serre fibration requires it for CW complexes. Replacing a map by a fibration gives a model for its homotopy fiber sequence.
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In mathematics, particularly in category theory and topology, a **fibration** is a concept that formalizes the idea of a "fiber" or a structure that varies over a base space. It provides a way to study spaces and their properties by looking at how they can be decomposed into simpler parts. There are two primary contexts in which the concept of fibration is used: ### 1.