Title: Bounds for the cup-length of Poincare spaces and their applications 

Author: Julius Korbas

AMS Classification numbers: Primary: 57N65; 55M30 Secondary: 53C30

Author's addresses: Department of Algebra, Geometry, and Mathematical
                    Education,  
                    Faculty of Mathematics, Physics, and Informatics,
                    Comenius University,
                    Mlynska dolina,
                    SK-842 48 Bratislava 4,
                    Slovakia
                             or
    
                    Mathematical Institute, Slovak Academy of Sciences,
                    Stefanikova 49, SK-814 73 Bratislava 1, Slovakia
 
Author's e-mail address: korbas@fmph.uniba.sk

Abstract: Our main result offers a new (quite systematic) way of
deriving bounds for the cup-length of Poincare spaces over fields; we
outline a general research program based on this result.  For the
oriented Grassmann manifolds, already a limited realization of the
program leads, in many cases, to the exact values of the cup-length and
to interesting information on the Lyusternik-Shnirel'man category.