Armenian Journal of Mathematics, 14(2)
ISSN 1829-1163
2023; 1–10
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Evaluation subgroups of a map and the rationalized G -sequence

Oteng Maphane*

Received: 2024-12-05 · Published: 2023-09-16

© 2023 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 14(2), 2023 — https://doi.org/10.52737/18291163-2022.14.2-1-10.

Original title
Evaluation subgroups of a map and the rationalized G -sequence
Author
Oteng Maphane
Source journal
Armenian Journal of Mathematics, 14(2)
Published
2023-09-16
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.2-1-10

Abstract

In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups of the inclusion CP(n)↪CP(n+k)CP(n)↪CP(n+k) between complex projective spaces and, more generally, the GG-sequence of the homotopy monomorphism ι:X↪Yι:X↪Y between simply connected formal homogeneous spaces for which π∗(Y)⊗Qπ∗(Y)⊗Q is finite-dimensional.
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