%0 Journal Article %T Some applications for Fadell-Dold theorm in fibration theory by using homotopy groups %A Amin Saif %A Adem Kilicman %J Mathematics %D 2010 %I arXiv %X The purpose of this paper is to give some solutions for the classification problem in fibration theory by using the homotopy sequences of fibrations (sequences of $n$-th homotopy groups $ \pi_{n}(S,s_{o}) $ of total spaces of fibrations). In particular, to show the role of homotopy sequence of $n$-th homotopy to get the required fiber map in Fadell-Dold theorem such that the restriction of this fiber map on some fiber spaces is a homotopy equivalence. %U http://arxiv.org/abs/1008.3956v1