|
|||||
|
|
Homology of the universal covering of a co-H-space |
|
| Authors: | Norio Iwase Shiroshi Saito Toshio Sumi |
| Affiliation: | Graduate School of Mathematics, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810, Japan ; Department of Mathematics, Shinshu University, Asahi 3-1-1, Matsumoto 390, Japan Toshio Sumi ; Department of Art and Information Design, Kyushu Institute of Design, Shiobaru 4-9-1, Fukuoka 815, Japan |
| Abstract: | The problem 10 posed by Tudor Ganea is known as the Ganea conjecture on a co-H-space, a space with co-H-structure. Many efforts are devoted to show the Ganea conjecture under additional assumptions on the given co-H-structure. In this paper, we show a homological property of co-H-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3. |
| Keywords: | LS category co-H-space deck transformation |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |