Three themes in the work of Charles Ehresmann: Local-to-global; Groupoids; Higher dimensions
Differential Geometry
2020-12-04 v5 Category Theory
History and Overview
Abstract
This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids. Interaction with work of the writer is explored.
Keywords
Cite
@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}
}
Comments
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