Splitting off Rational Parts in Homotopy Types
| dc.creator | Iwase, Norio | |
| dc.creator | Oda, Nobuyuki | |
| dc.date | 2004-11-16 | |
| dc.date.accessioned | 2026-07-07T05:14:23Z | |
| dc.date.available | 2026-07-07T05:14:23Z | |
| dc.description | It is known algebraically that any abelian group is a direct sum of a divisible group and a reduced group (See Theorem 21.3 of \cite{Fuchs:abelian-group}). In this paper, conditions to split off rational parts in homotopy types from a given space are studied in terms of a variant of Hurewicz map, say $\barρ : [S_{\Q}^{n},X] \to H_n(X;\Z)$ and generalized Gottlieb groups. This yields decomposition theorems on rational homotopy types of Hopf spaces, $T$-spaces and Gottlieb spaces, which has been known in various situations, especially for spaces with finiteness conditions. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411360 | |
| dc.identifier | http://arxiv.org/abs/math/0411360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73257 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P45; 55P62 | |
| dc.title | Splitting off Rational Parts in Homotopy Types | |
| dc.type | text |