Classification of fiber sequences with a prescribed holonomy action (Q2161370)

In this paper, the author presents a novel concept known as the \(\mathcal{H}\)-fibration sequence. This type of fibration sequence possesses a distinctive characteristic in which the fundamental group of the base acts upon the fiber \(F\) in a manner that it lies in a given subgroup \(\mathcal{H}\) of the group \(\mathcal{E}(F)\), which denotes the group of homotopy self-equivalences of \(F\). Moreover, the author has successfully classified the \(\mathcal{H}\)-fibration sequences through a universal \(\mathcal{H}\)-fibration sequence.