Geodesic
Maps with Discrete Branch Sets Between Manifolds of Codimension One
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 660-668

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

Let M n and Np be separable manifolds of dimensions n and p, respectively, with n ≧ p, and without boundary unless otherwise indicated. A mapƒ: M → N is proper if, for each compact set K ⊂ N, f –l(K) is compact. It is topologically equivalent to g: X → Y if there exist homeomorphisms α of M onto X and β of N onto Y such that βƒα–1 = g. At x ∈ M, ƒ is locally topologically equivalent to g if, for every neighbourhood W ⊂ M of x, there exist neighbourhoods U ⊂ W of x andV of ƒ(x) such that ƒ | U: U → V is topologically equivalent to g. 
Timourian, J. G. Maps with Discrete Branch Sets Between Manifolds of Codimension One. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 660-668. doi: 10.4153/CJM-1969-075-5
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