$G(f)$-sequences and fibrations
Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 709-715
Moo Ha Woo
Korea University
Abstract : For a fibration $(E,B,p)$ with fiber $F$ and a fiber map $f$, we show that if the inclusion $i:F \longrightarrow E$ has a left homotopy inverse, then $G_n^f(E,F)$ is isomorphic to $G_n^f(F,F) \oplus \pi_n(B)$. In particular, by taking $f$ as the identity map on $E$ we have $G_n(E,F)$ is isomorphic to $G_n(F) \oplus \pi_n(B)$.
Keywords : $G(f)$-sequence, evaluation subgroup, relative homotopy Jiang subgroup
MSC numbers : 55P45
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