Rational equivalence and phantom map out of a loop space
Iriye, Kouyemon
J. Math. Kyoto Univ., Tome 40 (2000) no. 4, p. 777-790 / Harvested from Project Euclid
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McGibbon asked if for a connected finite complex $X$ there is a rational equivalence from the loop space of $X$ to a product of spheres and loop spaces of spheres. We will show that the answer is yes if it has only a finite number of nonzero rational homotopy groups or if spaces are localised at a prime. We will also give a clear picture of phantom maps out of the iterated loop space of a finite complex.
Publié le : 2000-05-15
Classification:  
@article{1250517665,
     author = {Iriye, Kouyemon},
     title = {Rational equivalence and phantom map out of a loop space},
     journal = {J. Math. Kyoto Univ.},
     volume = {40},
     number = {4},
     year = {2000},
     pages = { 777-790},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250517665}
}

Iriye, Kouyemon. Rational equivalence and phantom map out of a loop space. J. Math. Kyoto Univ., Tome 40 (2000) no. 4, pp.  777-790. http://gdmltest.u-ga.fr/item/1250517665/