lemma Denjoy–Riesz theorem F. and M. Riesz theorem Riesz representation theorem Riesz-Fischer theorem Riesz groups Riesz's lemma Riesz projector Riesz sequence...

In topology, the Denjoy–Riesz theorem states that every compact set of totally disconnected points in the Euclidean plane can be covered by a continuous...

Denjoy–Luzin–Saks theorem Denjoy–Riesz theorem Denjoy–Young–Saks theorem Denjoy–Carleman theorem Denjoy–Carleman–Ahlfors theorem Denjoy's theorem on rotation...

inequality Denjoy–Luzin theorem Denjoy–Luzin–Saks theorem Denjoy–Riesz theorem Denjoy–Wolff theorem Denjoy–Young–Saks theorem Denjoy's theorem on rotation number...

the proofs of these results frequently depend on β-numbers. The Denjoy–Riesz theorem gives general conditions under which a point set can be covered by...

by Maehara, that Brouwer's fixed point theorem implies Jordan's theorem. Curve orientation Denjoy–Riesz theorem, a description of certain sets of points...

follows. (Others involve the divisor function σ(n).) The Riesz criterion was given by Riesz (1916), to the effect that the bound − ∑ k = 1 ∞ ( − x ) k...

totally disconnected point set with non-zero area, and then apply the Denjoy–Riesz theorem according to which every bounded and totally disconnected subset...

sets in higher dimensions with nonzero measure. By applying the Denjoy–Riesz theorem to a two-dimensional set of this type, it is possible to find an...

Arnaud Denjoy, 90, French mathematician known for Denjoy's theorem on rotation number, and the Denjoy–Luzin theorem, Denjoy–Riesz theorem, Denjoy–Wolff...

analysis) Darboux's theorem (real analysis) Denjoy–Carleman theorem (functional analysis) Denjoy-Young-Saks theorem (real analysis) Dini's theorem (analysis) Divergence...

as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic...

authors list (link) Gordon, Russell A. (1994). The integrals of Lebesgue, Denjoy, Perron, and Henstock. Providence, R.I.: American Mathematical Society....

scattered data points, and in boundary tracing in image analysis. Denjoy–Riesz theorem, on sets of infinitely many points that can be connected by a Jordan...