On perturbations of continuous structures

In some way, a galactic space is a set with two levels of resolution: a fine resolution given by the generalized distance which relates the topological relations between points

Fiber bundle over the starting points The special role that plays the starting point in the metric G induces another formal fiber bundle structure, where the base space is the

This lower bound —therefore, the sub-multiplicative inequality— with the following facts: (a) combinational modulus is bounded by the analytical moduli on tangent spaces of X, and

Bamler to study the behavior of scalar cur- vature under continuous deformations of Riemannian metrics, we prove that if a sequence of smooth Riemannian metrics g i on a fixed

The solution of the geodesic equation (Theorem 4.1) gives a precise sense to how geodesics in ( M , g N ) generalize those discovered by Calabi [4,5] for the subspace of Kähler

This lower bound—therefore, the sub-multiplicative inequality—with the following facts: a combinational modulus is bounded by the analytical moduli on tangent spaces of X, and b

In the present paper we replace the unit ball approach with the formalism of unbounded continuous first order logic, directly applicable to unbounded metric structures and in

In this setting, the earlier results show that the randomization of a complete first order theory is a complete theory in continuous logic that admits elimination of quantifiers and