Evaluation subgroups of a map and the rationalized G -sequence

Oteng Maphane

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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Evaluation subgroups of a map and the rationalized G -sequence

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