The rational homotopy type of homotopy fibrations over connected sums-Reference-Cited by-同舟云学术

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The rational homotopy type of homotopy fibrations over connected sums

Published:2023-02 Issue:1 Volume:66 Page:133-142
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Chenery Sebastian

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. (7) Huang, R. , and Theriault, S. , Homotopy of manifolds stabilized by projective spaces, Preprint arXiv:2204.04368, (2022).

2. (9) Theriault, S. , Homotopy fibrations with a section after looping, Preprint arXiv:arXiv:2005.11570, (2020).

3. Cogroups and suspensions

4. Introduction to Homotopy Theory

5. (2) Duan, H. , Circle actions and suspension operations on smooth manifolds, Preprint arXiv:2202.06225, (2022).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Moore’s conjecture for connected sums;Canadian Mathematical Bulletin;2023-12-04

2. Homotopy of manifolds stabilized by projective spaces;Journal of Topology;2023-09

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