Comparison techniques on inert top cell attachments
Algebraic Topology
2024-08-21 v1 Geometric Topology
Abstract
We establish various criteria for the inertness of the top cell attachments of Poincar\'{e} duality complexes through nonzero degree maps, algebraic intersection theory and various types of homotopy fibrations. Many examples are provided, including specific surgery, homogeneous spaces and low dimensional manifolds. Additionally, we propose eight open problems.
Keywords
Cite
@article{arxiv.2408.10716,
title = {Comparison techniques on inert top cell attachments},
author = {Ruizhi Huang},
journal= {arXiv preprint arXiv:2408.10716},
year = {2024}
}
Comments
110 pages; comments are very welcome