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arXiv:0904.4465 [math.GN]AbstractReferencesReviewsResources

On fundamental groups of quotient spaces

Jack S. Calcut, Robert E. Gompf, John D. McCarthy

Published 2009-04-28, updated 2011-09-22Version 3

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.

Comments: 12 pages, 4 figures; added references, keywords, and Remark 1.2; accepted at Topology and its Applications
Journal: Topol. Appl. 159 (2012), 322-330
Categories: math.GN, math.DS
Subjects: 54B15, 57M05, 37C10, 55U10
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