A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Definition of Exotic Characteristic Classes of Spherical Fibrations
A note about the isotropy groups of 2-plane bundles over closed surfaces.
A note on characteristic classes
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
A note on the cohomology ring of the oriented Grassmann manifolds
We use known results on the characteristic rank of the canonical –plane bundle over the oriented Grassmann manifold to compute the generators of the –cohomology groups for . Drawing from the similarities of these examples with the general description of the cohomology rings of we conjecture some predictions.
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.