There are now many applications of the following basic problem: Do all covers of the sphere by a compact Riemann surface of a “given type” compose one connected family? Or failing that, do they fall into easily discernible components? The meaning of “given type” usually uses the idea of a Nielsen class — a concept for covers that generalizes the genus of a compact Riemann surface. The answer ha...

An analytic families index is defined for (cusp) pseudodifferential operators on a fibration with fibres which are compact manifolds with boundaries. This provides an extension to the boundary case of the setting of the (pseudodifferential) Atiyah-Singer theorem and to the pseudodifferential case of the families Atiyah-Patodi-Singer index theorem for Dirac operators due to Bismut and Cheeger an...

The article presents the data on a comparative research study of the beef production of Kalmyk steers of compact (Group I), medium (Group II) and tall (Group III) body types. It has been found that the steers of a tall body type had higher pre-slaughter weight at the age of 16 months than steers of compact and medium types by 24.7 and 12.1 kg, respectively; the weight of hot carcasses by 15.9 a...

In [2] a general probability theory has been constructed for intuitionistic fuzzy events ([1]) defined on any probability space (Ω,S, P ). To any element A belonging to the family F of all intuitionistic fuzzy events a compact interval P(A) on the real line is assigned. In the paper we consider a mapping P : F → J , where J is the family of all compact intervals. Some properties of P are postul...

we characterize compact composition operators on real banach spaces of complex-valued bounded lipschitz functions on metric spaces, not necessarily compact, with lipschitz involutions and determine their spectra.

Drawing on the classification of symplectic manifolds with cosiotropic principal orbits by Duistermaat and Pelayo, in this note we exhibit families of compact symplectic manifolds, such that (i) no two manifolds in a family are homotopically equivalent, (ii) each manifold in each family possesses Hamiltonian, and non-Hamiltonian, toric symmetries, (iii) each manifold has odd first Betti number ...

Using a construction similar to an iterated function system, but with functions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description ...

We introduce a one parameter family of non-linear, non-local integrodifferential equations and its limit equation. These equations originate from a derivation of the linear Boltzmann equation using the framework of bosonic quantum field theory. We show the existence and uniqueness of strong global solutions for these equations, and a result of uniform convergence on every compact interval of th...