Vietoris-Rips 复形上的等变 Morse 理论与真正作用的无万有空间
几何拓扑
2022-01-13 v2 代数拓扑
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摘要
我们形式化了 Bestvina-Brady 离散 Morse 理论的等变版本，并将其应用于 Vietoris-Rips 复形，以为所有渐近 CAT(0) 群构造真正作用的无万有空间。
引用
@article{arxiv.1909.04487,
title = {Equivariant Morse theory on Vietoris-Rips complexes & universal spaces for proper actions},
author = {Marco Varisco and Matthew C. B. Zaremsky},
journal= {arXiv preprint arXiv:1909.04487},
year = {2022}
}
备注
Final revision, to appear in Bulletin of the London Mathematical Society. Minor changes, correcting some inconsequential mistakes and improving the exposition, based on a thorough referee report. 18 pages