Approximation relations on the posets of pseudometrics and of pseudoultrametrics
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 1
Abstract
We show that non-trivial "way below" and "way above" relations on the posets of all pseudometrics and of all pseudoultrametrics on a fixed set X are possible if and only if the set X is finite.
Authors and Affiliations
S. I. Nykorovych
Keywords
Related Articles
- EP ID EP262985
- DOI 10.15330/cmp.8.1.150-157
- Views 92
- Downloads 0
Pointwise stabilization of the Poisson integral for the diffusion type equations with inertia
In this paper we consider the pointwise stabilization of the Poisson integral for the diffusion type equations with inertia in the case of finite number of parabolic degeneracy groups. We establish necessary and sufficie...
Mixed problem for the singular partial differential equation of parabolic type
The scheme for solving of a mixed problem is proposed for a differential equation a(x)∂T∂τ=∂∂x(c(x)∂T∂x)−g(x)T with coefficients a(x), g(x) that are the generalized derivatives of functions of bounded variation, c(x)>0,...
Poincare series for the algebras of joint invariants and covariants of n quadratic forms
We consider one of the fundamental objects of classical invariant theory, namely the Poincare series for an algebra of invariants of Lie group $SL_2$. The first two terms of the Laurent series expansion of Poincar\'e se...
Some properties of shift operators on algebras generated by ∗ -polynomials
A ∗-polynomial is a function on a complex Banach space X, which is a sum of so-called (p,q)-polynomials.In turn, for non-negative integers p and q, a (p,q)-polynomial is a function on X, which is the restrictionto the di...
A multidimensional generalization of the Rutishauser qd-algorithm
In this paper the regular multidimensional C-fraction with independent variables, which is a generalization of regular C-fraction, is considered. An algorithm of calculation of the coefficients of the regular multidimens...