Stone-Weierstrass-type theorems for groups of group-valued functions with discrete range or discrete domain are obtained. We study criteria for a subgroup of the group of continuou...
We consider several coding discretizations of continuous functions which reflect their variation at some given precision. We study certain statistical and combinatorial properties...
Abstract. The Topological Radon Theorem states that, for every continuous function from the boundary of a (d + 1)-dimensional simplex into Rn , there exist a pair of disjoint faces...
We state some pointwise estimates for the rate of weighted approximation of a continuous function on the semiaxis by polynomials. Similarly to a previous result in C[−1, 1] due ...
Let us assume that f is a continuous function defined on the unit ball of Rd , of the form f(x) = g(Ax), where A is a k×d matrix and g is a function of k variables for k ≪ d. ...
We consider existence of curves c : [0, 1] Rn which minimize an energy of the form c(k) p (k = 1, 2, . . . , 1 < p < ) under side-conditions of the form Gj(c(t1,j), . . . ,...
A cellular automaton is a continuous function F defined on a full-shift AZ which commutes with the shift . Often, to study the dynamics of F one only considers implicitly . Howeve...
We investigate the notion of K-triviality for closed sets and continuous functions. Every K-trivial closed set contains a K-trivial real. There exists a K-trivial 0 1 class with no...
George Barmpalias, Douglas A. Cenzer, Jeffrey B. R...
Abstract Stone Duality is a revolutionary theory that works directly with computable continuous functions, without using set theory, infinitary lattice theory or a prior theory o...