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http://dx.doi.org/10.4134/BKMS.2005.42.3.521

WHEN IS THE CLASSIFYING SPACE FOR ELLIPTIC FIBRATIONS RANK ONE?  

YAMAGUCHI TOSHIHIRO (FACULTY OF EDUCATION, KOCHI UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 521-525 More about this Journal
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;
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