Self maps of spaces: dedicated to professor tsuyoshi watabe on his sixtieth birthday

摘要

Given a path-connected space X, we write QH~n (X;K)=H~n(X; K)/ {∑_iH~I(X; K) . H~n_I (X; K)} for K=Z, Q. If G is a connected Lie group, then the k-fold product ~kid of the identity nap of G satisfies (~kid)~* (x)=kx of all x∈QH~* (G; Q). This property was important in [5]. Apart from extending Haibao's results on H-spaces to more general spaces, the following problem seems interesting in its own sense.