Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661194 | Topology and its Applications | 2006 | 11 Pages |
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