CERTAIN GENERALIZATIONS OF G-SEQUENCES AND THEIR EXACTNESS
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In this paper, we generalize the Gottlieb groups and the re-lated G-sequence of those groups, and present some sucient conditionsto ensure the exactness or non-exactness of G-sequences at some terms.We also give some applications of the exactness or non-exactness of G-sequences. Especially, we show that the non-exactness of G-sequencesimplies the non-triviality of homotopy groups of some function spaces.
Abstract
In this paper, we generalize the Gottlieb groups and the re-lated G-sequence of those groups, and present some sucient conditionsto ensure the exactness or non-exactness of G-sequences at some terms.We also give some applications of the exactness or non-exactness of G-sequences. Especially, we show that the non-exactness of G-sequencesimplies the non-triviality of homotopy groups of some function spaces.
참고문헌 (16)
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