抄録
A non-simply connected co-H-space X is, up to homotopy, the total space of a fibrewise-simply connected pointed fibrewise co-Hopf fibrant j:X→Bπ1(X), which is a space with a co-action of Bπ1(X) along j. We construct its homology decomposition, which yields a simple construction of its fibrewise localisation. Our main result is the construction of a series of co-H-spaces, each of which cannot be split into a one-point-sum of a simply connected space and a bunch of circles, thus disproving the Ganea conjecture.
本文言語 | 英語 |
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ページ(範囲) | 223-234 |
ページ数 | 12 |
ジャーナル | Topology |
巻 | 40 |
号 | 2 |
DOI | |
出版ステータス | 出版済み - 3月 2001 |
!!!All Science Journal Classification (ASJC) codes
- 幾何学とトポロジー