Geodesic
A combinatorial identity arising from cobordism theory
Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 2 
D. Gijswijt; P. Moree. A combinatorial identity arising from cobordism theory. Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2005_74_2_a4/
@article{AMUC_2005_74_2_a4,
     author = {D. Gijswijt and P. Moree},
     title = {A combinatorial identity arising from cobordism theory},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2005},
     volume = {74},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2005_74_2_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let a = ( a 1 ,a 2 , 1⁄4 , a m ) Î R >0 m . Let a i,j be the vector obtained from a by deleting the entries a i and a j . Besser and Moree <span class="cite">[<span class="cmbx-10">?</span>]</span> introduced some invariants and near invariants related to the solutions e Î{± 1 } m-2 of the linear inequality | a i - a j | < < e , a i,j > < a i + a j , where < , > denotes the usual inner product and a i,j the vector obtained from a by deleting a i and a j . The main result of Besser and Moree <span class="cite">[<span class="cmbx-10">?</span>]</span> is extended here to a much more general setting, namely that of certain maps from finite sets to {- 1 , 1 } .