Co-H-spaces and the Ganea conjecture

Norio Iwase

doi:10.1016/S0040-9383(99)00052-X

Co-H-spaces and the Ganea conjecture

Norio Iwase

数学部門

研究成果: ジャーナルへの寄稿 › 記事

3 引用 (Scopus)

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.

元の言語	英語
ページ（範囲）	223-234
ページ数	12
ジャーナル	Topology
巻	40
発行部数	2
DOI	https://doi.org/10.1016/S0040-9383(99)00052-X
出版物ステータス	出版済み - 3 1 2001

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H-space

Coaction

Homotopy

Homology

Circle

Decompose

Series

All Science Journal Classification (ASJC) codes

Geometry and Topology

これを引用

Iwase, N. (2001). Co-H-spaces and the Ganea conjecture. Topology, 40(2), 223-234. https://doi.org/10.1016/S0040-9383(99)00052-X

Co-H-spaces and the Ganea conjecture. / Iwase, Norio.

：: Topology, 巻 40, 番号 2, 01.03.2001, p. 223-234.

研究成果: ジャーナルへの寄稿 › 記事

Iwase, N 2001, 'Co-H-spaces and the Ganea conjecture', Topology, 巻. 40, 番号 2, pp. 223-234. https://doi.org/10.1016/S0040-9383(99)00052-X

Iwase N. Co-H-spaces and the Ganea conjecture. Topology. 2001 3 1;40(2):223-234. https://doi.org/10.1016/S0040-9383(99)00052-X

Iwase, Norio. / Co-H-spaces and the Ganea conjecture. ：: Topology. 2001 ; 巻 40, 番号 2. pp. 223-234.

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文献にアクセス

10.1016/S0040-9383(99)00052-X