Tolerance relations on periodic commutative semigroups
To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.
We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.
For an order embedding of a partly ordered group into an -group a topology is introduced on which is defined by a family of valuations on . Some density properties of sets , and ( being -ideals in ) in the topological space are then investigated, each of them being equivalent to the statement that is a strong theory of quasi-divisors.
Cet article est une introduction aux aspects combinatoires de la distance -adique et de la topologie -adique sur les mots. On donne plusieurs définitions équivalentes de ces notions, illustrées par divers exemples et propriétés. Après avoir décrit de façon détaillée les ouverts, on démontre que la distance -adique est uniformément équivalente à une distance obtenue à partir des coefficients binomiaux définis sur les mots. On donne également deux exemples de suites convergentes dans la topologie...