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Homology of the universal covering of a co-H-space

Author(s): Norio Iwase; Shiroshi Saito; Toshio Sumi
Journal: Trans. Amer. Math. Soc. 351 (1999), 4837-4846.
MSC (1991): Primary 55P45; Secondary 19A13
Posted: May 26, 1999
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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.

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Additional Information:

Norio Iwase
Affiliation: Graduate School of Mathematics, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810, Japan
Address at time of publication: Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3QY, United Kingdom
Email: iwase@math.kyushu-u.ac.jp, n.iwase@maths.abdn.ac.uk

Shiroshi Saito
Affiliation: Department of Mathematics, Shinshu University, Asahi 3-1-1, Matsumoto 390, Japan

Toshio Sumi
Affiliation: Department of Art and Information Design, Kyushu Institute of Design, Shiobaru 4-9-1, Fukuoka 815, Japan
Email: sumi@kyushu-id.ac.jp

DOI: 10.1090/S0002-9947-99-02238-2
PII: S 0002-9947(99)02238-2
Keywords: LS category, co-H-space, deck transformation
Received by editor(s): May 13, 1997
Posted: May 26, 1999
Additional Notes: The first author's research was supported by Grant-in-Aid for Scientific Research (C)08640125 from the Ministry of Education, Science, Sports and Culture.
Copyright of article: Copyright 1999, American Mathematical Society


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