Evaluation subgroups of a map and the rationalized G-sequence
نویسندگان
چکیده
In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups inclusion $ \mathbb{C} P(n)\hookrightarrow P(n+k) between complex projective spaces and, more generally, G $-sequence homotopy monomorphism \iota: X\hookrightarrow Y simply connected formal homogeneous for which \pi_{\ast}(Y)\otimes \mathbb{Q}$ is finite dimensional.
منابع مشابه
Rationalized Evaluation Subgroups of a Map and the Rationalized G-sequence
Let f : X → Y be a based map of simply connected spaces. The corresponding evaluation map ω : map(X, Y ; f)→ Y induces a homomorphism of homotopy groups whose image in πn(Y ) is called the nth evaluation subgroup of f . The nth Gottlieb group of X occurs as the special case in which Y = X and f = 1X . We identify the homomorphism induced on rational homotopy groups by this evaluation map, in te...
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ژورنال
عنوان ژورنال: Armenian journal of mathematics
سال: 2022
ISSN: ['1829-1163']
DOI: https://doi.org/10.52737/18291163-2022.14.2-1-10