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.

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

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