TY - JOUR
T1 - Homology of the universal covering of a Co-H-space
AU - Iwase, Norio
AU - Saito, Shiroshi
AU - Sumi, Toshio
PY - 1999
Y1 - 1999
N2 - 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 coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.
AB - 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 coH-spaces in a slightly general situation. As a corollary, we get the Ganea conjecture for spaces up to dimension 3.
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U2 - 10.1090/s0002-9947-99-02238-2
DO - 10.1090/s0002-9947-99-02238-2
M3 - Article
AN - SCOPUS:29744467718
VL - 351
SP - 4837
EP - 4846
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 12
ER -