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Tolerances on poset algebras

Bohdan Zelinka (1992)

Mathematica Bohemica

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.

Topics in statistical physics involving braids

J. McCabe, T. Wydro (1998)

Banach Center Publications

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.

Topological characterizations of ordered groups with quasi-divisor theory

Jiří Močkoř (2002)

Czechoslovak Mathematical Journal

For an order embedding G h Γ of a partly ordered group G into an l -group Γ a topology 𝒯 W ^ is introduced on Γ which is defined by a family of valuations W on G . Some density properties of sets h ( G ) , h ( X t ) and ( h ( X t ) { h ( g 1 ) , , h ( g n ) } ) ( X t being t -ideals in G ) in the topological space ( Γ , 𝒯 W ^ ) are then investigated, each of them being equivalent to the statement that h is a strong theory of quasi-divisors.

Topologie p -adique sur les mots

Jean-Éric Pin (1993)

Journal de théorie des nombres de Bordeaux

Cet article est une introduction aux aspects combinatoires de la distance p -adique et de la topologie p -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 p -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...

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