Geodesic
On the theory of generalized manifolds
Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 845-857

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A simple construction is given for proving the Poincaré duality theorem for generalized manifolds, which also applies to generalized manifolds without locally constant “orientation” sheaves (for example, to manifolds with “boundary”). It appears that some other well-known duality relations in generalized manifolds are either special cases of Poincaré duality, or simple consequences of it. 
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     author = {E. G. Sklyarenko},
     title = {On the theory of generalized manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {845--857},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a6/}
}
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E. G. Sklyarenko. On the theory of generalized manifolds. Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 845-857. http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a6/