Article ID Journal Published Year Pages File Type
4661194 Topology and its Applications 2006 11 Pages PDF
Abstract

Our main result offers a new (quite systematic) way of deriving bounds for the cup-length of Poincaré 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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology