The Rational Homotopy Type of Homotopy Fibrations Over Connected Sums

Abstract

A. We provide a simple condition on rational cohomology for the total space of a pullback fibration over a connected sum to have the rational homotopy type of a connected sum, a er looping. is takes inspiration from recent work of Jeffrey and Selick, in which they study pullback fibrations of this type, but under stronger hypotheses compared to our result.