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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



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

Authors: Norio Iwase, Shiroshi Saito and Toshio Sumi
Journal: Trans. Amer. Math. Soc. 351 (1999), 4837-4846
MSC (1991): Primary 55P45; Secondary 19A13
Published electronically: May 26, 1999
MathSciNet review: 1487618
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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

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

Keywords: LS category, co-H-space, deck transformation
Received by editor(s): May 13, 1997
Published electronically: 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.
Article copyright: © Copyright 1999 American Mathematical Society