ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIV, 2 (2005)
p. 199 - 203

A combinatorial identity arising from cobordism theory
D. Gijswijt and P. Moree


Abstract.  Let a = (a 1,a 2, ¼, a m) Î R>0m. Let a i,j be the vector obtained from a by deleting the entries a i and aj. Besser and Moree introduced some invariants and near invariants related to the solutions e Î{1}m-2 of the linear inequality |ai - aj| < <e,ai,j> < ai + aj, where < > denotes the usual inner product and ai,j the vector obtained from a by deleting ai and aj. The main result of Besser and Moree is extended here to a much more general setting, namely that of certain maps from finite sets to {-1,1}.

AMS Subject classification:  Primary: 15A39; Secondary: 11B99.


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