抄録
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 coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 4837-4846 |
| ページ数 | 10 |
| ジャーナル | Transactions of the American Mathematical Society |
| 巻 | 351 |
| 発行部数 | 12 |
| 出版物ステータス | 出版済み - 12 1 1999 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
これを引用
Homology of the universal covering of a Co-H-space. / Iwase, Norio; Saito, Shiroshi; Sumi, Toshio.
：: Transactions of the American Mathematical Society, 巻 351, 番号 12, 01.12.1999, p. 4837-4846.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Homology of the universal covering of a Co-H-space
AU - Iwase, Norio
AU - Saito, Shiroshi
AU - Sumi, Toshio
PY - 1999/12/1
Y1 - 1999/12/1
N2 - 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 coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.
AB - 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 coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.
UR - http://www.scopus.com/inward/record.url?scp=29744467718&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=29744467718&partnerID=8YFLogxK
M3 - Article
VL - 351
SP - 4837
EP - 4846
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 12
ER -