Stable suspension order of universal phantom maps and some stably indecomposable loop spaces
IRIYE, Kouyemon
J. Math. Soc. Japan, Tome 59 (2007) no. 1, p. 97-112 / Harvested from Project Euclid
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We study a stable suspension order of a universal phantom map out of a space. We prove that it is infinite if $X$ is a non-trivial finite Postnikov space, a classifying space of connected Lie group or a loop space on a connected Lie group with torsion. We also show that the loop spaces on the exceptional Lie groups $E_6$ and $E_7$ are stably indecomposable.
Publié le : 2007-01-14
Classification:  phantom map,  loop space,  exceptional Lie group,  55P99,  55P35,  55S05 
@article{1180135502,
     author = {IRIYE, Kouyemon},
     title = {Stable suspension order of universal phantom maps and some stably indecomposable loop spaces},
     journal = {J. Math. Soc. Japan},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 97-112},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1180135502}
}

IRIYE, Kouyemon. Stable suspension order of universal phantom maps and some stably indecomposable loop spaces. J. Math. Soc. Japan, Tome 59 (2007) no. 1, pp.  97-112. http://gdmltest.u-ga.fr/item/1180135502/