Sullivan minimal models of classifying spaces for non-formal spaces of small rank

Hirokazu Nishinobu; Toshihiro Yamaguchi

paper

Sullivan minimal models of classifying spaces for non-formal spaces of small rank

arXiv:1504.07002

Abstract

We consider certain rational homotopical conditions of simly connected CW complex $X$ such that the rational cohomology of the classifying space $B a u t_{1} X$ for fibrations with two-stage fibre $X$ is (not) free. First, we consider when is $B a u t_{1} X$ a rational factor of $B a u t_{1} (X \times S^{n})$ for an odd-integer $n$ and observe for a non-formal elliptic space $X$ of rank 3. Second, we compute the Sullivan minimal models of $B a u t_{1} X$ when $X$ are certain non-formal pure spaces of rank 5.

15 pages

References in corpus (1)

Deformation theory and rational homotopy type