On perturbations of Hilbert spaces and probability algebras with a generic automorphism

Recall from these papers that the classifying space of a category with weak equivalences (for instance a model cate- gory) is the nerve of its subcategory of weak equivalences.

We recall that a Fr´echet manifold is a Hausdorff topological space with an atlas of coordinate charts taking values in Fr´echet spaces in such a way that the coordinate changes

Abstract. In this article we propose a probabilistic framework in order to study the fair division of a divisible good, e.g. Our framework follows the same idea than the

McKenzie proved independently at about the same time, that the theory of Boolean algebras with a distinguished subalgebra is undecidable.. The method of his proof

de Hopf finies et commutatives G et H dans une cat6gorie ferm6e sym6trique C avec objet base projective, les auteurs construisent.. un homomomorphisme de groupes

Hamiltonian vector fields determined by the symplectic structure; and then to utilise it to prove that each of these algebras determines the manifold, as far as..

- We prove that a finite group is (isomorphic to) an automorphism group of a toroidal hypermap if and only if it is abelian of rank at most two or it can be decomposed as the

Since it is clear that G cannot be the direct product of infinitely many nontrivial groups, if it is periodic it must be of the type required in Theorem C. To show