This article is cited in 26 papers

On the theory of generalized manifolds

E. G. Sklyarenko


Abstract: 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.

UDC: 513.83

MSC: 57B10, 55C05, 55B30

Received: 06.07.1970

 English version: Mathematics of the USSR-Izvestiya, 1971, 5:4, 845–857

Bibliographic databases:

• 
•