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arXiv:1307.3031 [math.AT]AbstractReferencesReviewsResources

A note on the characteristic rank and related numbers

L'udovít Balko, Július Korbaš

Published 2013-07-11Version 1

This note quantifies, via a sharp inequality, an interplay between (a) the characteristic rank of a vector bundle over a topological space X, (b) the Z/2Z-Betti numbers of X, and (c) sums of the numbers of certain partitions of integers. In a particular context, (c) is transformed into a sum of the readily calculable Betti numbers of the real Grassmann manifolds.

Comments: Accepted for publication in Mathematica Slovaca
Categories: math.AT, math.CO, math.DG, math.NT
Subjects: 57R20, 05A17
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