We give examples of minimal diffeomorphisms of compact connected manifolds which are not topologically orbit equivalent, but whose transformation group C*-algebras are isomorphic. The examples show that the following properties of a minimal diffeomorphism are not invariants of the transformation group C*-algebra: having topologically quasidiscrete spectrum; the action on singular cohomology (wh...

Many successful attempts have been made to deduce information from data. Such data might come from an explicit body of knowledge, for example from a data base. Alternatively the data might be implicit, for example the behaviour of a system. The system may itself be physical such as a helicopter or a factory, or it may be conceptual such as a financial system. The extraction of information from ...

“justice” is a fine adjective to which various nouns may be attributed. these nouns can be divided into three universal categories: individual person, social situation, and society. each of these nouns has a particular characteristic feature based on which one may not use any given definition for justice. the purpose of this essay is to argue that taking the noun of justice into consideration i...