Vol. 14 No. 2 (2022): Evaluation subgroups of a map and the rationalized G-sequence

Published: 2022-02-18

Articles

  • Articles

    Evaluation subgroups of a map and the rationalized $G$-sequence

    Oteng Maphane
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    Abstract

    In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups of the inclusion $ \mathbb{C} P(n)\hookrightarrow \mathbb{C} P(n+k) $ between complex projective spaces and, more generally, the $ G $-sequence of the homotopy monomorphism $ \iota: X\hookrightarrow Y $ between simply connected formal homogeneous spaces for which $ \pi_{\ast}(Y)\otimes \mathbb{Q}$ is finite-dimensional.

     

    Editorial Board's note. We inform our readers that J.-B. Gatsinzi mentions in his work, published in Armen. J. Math. vol. 15, no. 9, 2023, that O. Maphane's paper contains a mistake. According to Gatsinzi, his Corollary 1 corrects Theorem 2.2 of the current paper. We contacted Maphane on this issue, and he agreed with Gatzinzi's statement.

    References

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