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Full-Text Articles in Mathematics
On Fundamental Groups Of Quotient Spaces, Jack S. Calcut, Robert E. Gompf, John D. Mccarthy
On Fundamental Groups Of Quotient Spaces, Jack S. Calcut, Robert E. Gompf, John D. Mccarthy
Faculty & Staff Scholarship
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.