Abstract
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 after looping. This takes inspiration from a recent work of Jeffrey and Selick, in which they study pullback fibrations of this type but under stronger hypotheses compared to our result.
| Original language | English |
|---|---|
| Pages (from-to) | 133-142 |
| Number of pages | 11 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 66 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 3 Apr 2023 |
Keywords
- connected sums
- loop spaces
- Poincaré duality
- rational homotopy theory
- fibration