On fundamental groups of quotient spaces

Details On fundamental groups of quotient spaces On fundamental groups of quotient spaces

2009-04-28

arxiv.org/abs/0904.4465v3

Mathematics

General Topology

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

Scientific paper

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.

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