The graph 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.

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 ...

The Graph Minor Theorem

2 Properties excluding a planar graph 3 2.1 Path-width and tree-width . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Excluding a forest . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Planar graphs and sleeve unions . . . . . . . . . . . . . . . . . . 10 2.4 Planar graphs and grids . . . . . . . . . . . . . . . . . . . . . . . 13 2.5 Families with bounded tree-width . . . . . . . ....

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

Friedrichs Extension Theorem

Some notes on the Friedrichs Extension Theorem, for MATH 7130, Spring 2010.