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arxiv: 0904.4465 · v3 · pith:NZYEQ3GOnew · submitted 2009-04-28 · 🧮 math.GN · math.DS

On fundamental groups of quotient spaces

classification 🧮 math.GN math.DS
keywords spacescoveringfundamentalgroupsquotientapplicationscertainclassical
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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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