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Poincaré Transversality for Double Covers

Published online by Cambridge University Press:  20 November 2018

I. Hambleton  and
R. J. Milgram
I. Hambleton
Affiliation:
McMaster University, Hamilton, Ontario
R. J. Milgram
Affiliation:
McMaster University, Hamilton, Ontario
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1319 - 1330
Copyright
Copyright © Canadian Mathematical Society 1978

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