Geodesic
Poincaré Transversality for Double Covers
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1319-1330

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

Let π: X’ —” X be a double cover of 2n-dimensional Poincaré duality (PD) spaces. The double cover is a fibering so it is classified by a map f: X → RP1+1(l ≫ n). If the homotopy class of f contains a representative which is Poincaré transverse [5] to RPl ⊂ RPl+1, we say that w is Poincarésplit-table. 
Hambleton, I.; Milgram, R. J. Poincaré Transversality for Double Covers. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1319-1330. doi: 10.4153/CJM-1978-109-3
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