Norio Iwase
Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp
Authors.
Shiroshi Saito, Toshio Sumi and myself
Journal.
Trans. A.M.S. 351 (1999), 4837-4846.
Abstract.
The problem 10 posed by Tudor Ganea is a question on a co-H-space, a space with co-multiplication: Does a connected co-H-space have the homotopy type of a one-point-sum of a wedge sum of circles and a simply connected space?
The affirmative answer is usually supposed to be true and come to be called as 'the Ganea conjecture'.
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 co-H-spaces whose homology is concentrated in dimensions 1, n+1 and n+2 for some n.
- Homology of the universal covering space of a co-H-spaces (adobe-pdf file, 236681 bytes)