On fibre inclusions and Kähler manifolds

Abstract

A map i : X → Y i:X \to Y of CW {\text {CW}} -complexes is said to be equivalent to a fibre inclusion if there exists a fibration (up to homotopy) X → Y → B X \to Y \to B . Here some classes of maps of compact Kähler manifolds are presented which are not equivalent to a fibre inclusion.