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

Iwase, Norio; Saito, Shiroshi; Sumi, Toshio

doi:10.1090/S0002-9947-99-02238-2

Homology of the universal covering of a co-H-space
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by Norio Iwase, Shiroshi Saito and Toshio Sumi PDF

Trans. Amer. Math. Soc. 351 (1999), 4837-4846 Request permission

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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