Charles Ehresmann 工作中的三个主题：局部到整体；群胚；高维
微分几何
2020-12-04 v5 范畴论
历史与综述
摘要
本文通过以下方面阐述标题中的主题：基本群胚的 van Kampen 型定理；完整性与单值性群胚；以及高同伦群胚。并探讨了与作者工作的相互作用。
引用
@article{arxiv.math/0602499,
title = {Three themes in the work of Charles Ehresmann: Local-to-global; Groupoids; Higher dimensions},
author = {Ronald Brown},
journal= {arXiv preprint arXiv:math/0602499},
year = {2020}
}
备注
13 pages; Expansion of an invited talk given to the 7th Conference on the Geometry and Topology of Manifolds: The Mathematical Legacy of Charles Ehresmann, Bedlewo 8.05.2005-15.05.2005 (Poland) Version 2: corrections of a date and some grammar, slight referencing changes, and a small comment added Version4. Theorem 2.2 got corrected and then uncorrected! It is now corrected. Version5. Reference added. Various minor improvements made in reaction to comments