Geodesic
Ends of spaces related by a covering map
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 110-118

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Consider a covering p : X → B of connected topological spaces. IfB is a compact polyhedron, a classical result of H. Hopf [4] says that the end spaceE(X) of X is an invariant of the group G of covering transformations. Thus it becomesmeaningful to define the end space of the finitely generated group G as E(G) := E(X). 
Peschke, Georg. Ends of spaces related by a covering map. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 110-118. doi: 10.4153/CMB-1990-019-2
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     title = {Ends of spaces related by a covering map},
     journal = {Canadian mathematical bulletin},
     pages = {110--118},
     year = {1990},
     volume = {33},
     number = {1},
     doi = {10.4153/CMB-1990-019-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-019-2/}
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