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

Voir la notice de l'article provenant de la source Cambridge University Press

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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