On the random Dugundji extension theorem

An extension of the Wedderburn-Artin Theorem

‎In this paper we give conditions under which a ring is isomorphic to a structural matrix ring over a division ring.

Extension of the Douady-Hubbard's Theorem on Connectedness of the Mandelbrot Set to Symmetric Polynimials

The Extension Theorem

Given a compact convex polyhedron, can it tile space in a transitive (or in a regular) way? We discuss in the paper the so-called extension theorem giving conditions under which there is unique extension of a finite polyhedral complex, which consists of replicas of the given polyhedron, to a global isohedral tiling. The extension theorem gives a way to get all possible regular tilings with the ...

On an Extension of Minty's Theorem

The notion of monotone operator in a Hilbert space is extended, and a considerably broader class of possibly multivalued operators is introduced. It is shown that well-known Minty's theorems on maximal monotone operators in Hilbert spaces can be extended to the cases of operators belonging to the class. Typical examples of partial differential operators are given to illustrate that the results ...

An Extension of Landau's Theorem on Tournaments

In an ordinary (round-robin) tournament there are n people, Pi, , Pn, each of whom plays one game against each of the other n — 1 people. No game is permitted to end in a tie, and the score of Pi is the total number Si of games won by pim By the score sequence of a given tournament is meant the set S = (slf •••,«»), where it may be assumed, with no loss of generality, that sx ^ ^ sn. Landau [3]...