On fundamental groups of quotient spaces
General Topology
2013-03-06 v3 Dynamical Systems
Abstract
In classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers, with applications to orbit spaces of vector fields and leaf spaces in general.
Keywords
Cite
@article{arxiv.0904.4465,
title = {On fundamental groups of quotient spaces},
author = {Jack S. Calcut and Robert E. Gompf and John D. McCarthy},
journal= {arXiv preprint arXiv:0904.4465},
year = {2013}
}
Comments
12 pages, 4 figures; added references, keywords, and Remark 1.2; accepted at Topology and its Applications