Open AccessEvaluation subgroups of a map and the rationalized $G$-sequence
Author(s) -
Oteng Maphane
Publication year - 2022
Publication title -
armenian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 1
ISSN - 1829-1163
DOI - 10.52737/18291163-2022.14.2-1-10
Subject(s) - sequence (biology) , monomorphism , mathematics , homotopy , homogeneous , combinatorics , pure mathematics , chemistry , injective function , biochemistry
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.