Chebyshev systems of locally analytic functions

Decompositions of metrizable compact spaces admittingT-systems of complex-valued functions

“…To this end, let us fix {ql, q2} 9 e2(Q \ G) and pass from system (1) to the other T(n, C)-system ..., on Q that is formed by polynomials in system (1) such that T~(qj) = 0 for i = 1,..., n-2 and j --1, 2. This is possible by virtue of the Kolmogorov criterion for T(n, C)-systems [1] (see also [4]). Let us form a matrix @(P, q) for the system {~(q)} by analogy with the matrix F(P, q) for (1) and define the determinants A,~_I(p, q) and An(P , q).…”

“…T-systems of complex-valued functions have been studied by many authors [1][2][3][4]. In 1948 A. N. Kolmogorov obtained a criterion for T(n, C)-systems [1].…”