paper

On fundamental groups of quotient spaces

arXiv:0904.4465

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.

12 pages, 4 figures; added references, keywords, and Remark 1.2; accepted at Topology and its Applications

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