Poincaré Transversality for Double Covers Academic Article uri icon

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abstract

  • 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: XRP1+1(ln). If the homotopy class of f contains a representative which is Poincaré transverse [5] to RPlRPl+1, we say that w is Poincarésplit-table.

publication date

  • December 1, 1978