What is confibration?

Answer 1

Confibration is a topological concept that refers to a particular type of fibration, specifically in the context of homotopy theory. It involves a mapping between topological spaces where the fibers are homotopically trivial, meaning that every fiber is contractible. This property allows for a certain flexibility in the study of spaces and their mappings, as confibrations preserve homotopical structures and properties during deformation. In essence, confibrations facilitate the analysis of complex spaces by simplifying their topological characteristics.