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WHEN IS THE CLASSIFYING SPACE FOR ELLIPTIC FIBRATIONS RANK ONE?
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 Title & Authors
WHEN IS THE CLASSIFYING SPACE FOR ELLIPTIC FIBRATIONS RANK ONE?
YAMAGUCHI TOSHIHIRO;
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 Abstract
We give a necessary and sufficient condition of a rationally elliptic space X such that the Dold-Lashof classifying space Baut1X for fibrations with the fiber X is rank one. It is only when X has the rational homotopy type of a sphere or the total space of a spherical fibration over a product of spheres.
 Keywords
elliptic space;minimal model;derivation;classifying space for fibrations;
 Language
English
 Cited by
1.
Rational cohomologies of classifying spaces for homogeneous spaces of small rank, Arabian Journal of Mathematics, 2016, 5, 4, 225  crossref(new windwow)
2.
Sullivan minimal models of classifying spaces for non-formal spaces of small rank, Topology and its Applications, 2015, 196, 290  crossref(new windwow)
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