OFFSET
5,1
COMMENTS
From Table 3.2, p.10, of Davis. The span of a manifold is its maximum number of linearly independent vector fields. We discuss the question, still unresolved, of whether span(P^m x P^n) always equals span(P^m) + span(P^n). Here P^n denotes real projective space. We use BP-cohomology to obtain new upper bounds for span(P^m x P^n), much stronger than previously known bounds.
LINKS
Donald M. Davis, Vector fields on RP^m x RP^n, Dec 17, 2010.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Dec 20 2010
STATUS
approved