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Ends of spaces related by a covering map
Published online by Cambridge University Press: 20 November 2018
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Consider a covering p : X → B of connected topological spaces. If B is a compact polyhedron, a classical result of H. Hopf [4] says that the end space E(X) of X is an invariant of the group G of covering transformations. Thus it becomes meaningful to define the end space of the finitely generated group G as E(G) := E(X).
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- Copyright © Canadian Mathematical Society 1990