

A178311


Davis's upper bound for span(P^m x P^111) with m = 3 * (2^n  1) for 5 <= n <= 17, and P^k denoting real projective space.


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32, 46, 50, 52, 78, 86, 94, 102, 106, 158, 166, 174, 182
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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 BPcohomology to obtain new upper bounds for span(P^m x P^n), much stronger than previously known bounds.


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KEYWORD

nonn


AUTHOR



STATUS

approved



