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학술저널

SOME PROPERTIES OF THE GENERALIZED GOTTLIEB GROUPS

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We investigate the relationships between the Gottlieb groups and the generalized Gottlieb groups, and study some properties the generalized Gottlieb groups. Lee and Woo [5] proved thatGn(X, i 1, X X Y) Gn(X)EB 1l n(Y). We can easily re-prove the above main theorem of [5] using some properties of the generalized Gottlieb groups, and obtain a more powerful result as follows; if F ...; E 2+ B is a homotopically trivial fibration, then Gn(F, i, E) πn(B) EB Gn(F).

1. Introduction

2. Some properties of the generalized Gottlieb groups

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