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

Japanese
Authors.
myself
Journal.
Topology, 40 (2001), 223-234.
Abstract.
Homotopy theoretic tools for non-simply-connected co-H-spaces are produced for further developments. But a series of complexes is constructed whose homology is concentrated in dimensions 1, n+1, n+5 for n > 4 as co-H-spaces not to be split into a one-point-sum of a simply connected space and a bunch of circles, thus the Ganea conjecture fails for general co-H-spaces. We do not know about co-H-spaces whose homology is concentrated in dimensions 1, n+1,..., n+d for some n, if 2 < d < 5.

Co-H-spaces and the Ganea conjecture (adobe-pdf file, 142392 bytes)

Warning.
I have noticed there is a mis-print in the definition of s0 in Page 232. The correction is given here (adobe-pdf file, 161796 bytes)