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.
Repository Citation
Calcut, Jack S., Robert E. Gompf, and John D. McCarthy. 2012. "On fundamental groups of quotient spaces." Topology and Its Applications 159(1): 322-30.
Publisher
Elsevier
Publication Date
1-1-2012
Publication Title
Topology and its Applications
Department
Mathematics
Document Type
Article
DOI
10.1016/J.TOPOL.2011.09.038
Keywords
Primary, 54B15, Secondary, 57M05, 37C10, 55U10, Vietoris mapping theorem, Homotopy, Fundamental group, Quotient map, Connected fiber, Orbit space, Hawaiian earring, Semilocally simply-connected
Document Version
post-print
Language
English
Format
text
