In [1] a generalization of Hall's theorem was proved for families of hypergraphs. The proof used Sperner's lemma. In [5] Meshulam proved an extension of this result, using homology and the nerve theorem. In this paper we show how the triangulations method can be used to derive Meshulam's results. As in [1], the proof is based on results on extensions of triangulations from the sphere to the full ball. A typical result of this type is that any triangulation of the (d − 1)-dimensional sphere S d−1 can be extended to a triangulation of the ball B d , by adding one point at a time, having degree at most 2d to its predecessors.

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Electrical equipment supplying and distributing energy is used in every pulp and paper industrial process. Many components made of various metallic and dielectric materials are vulnerable to corrosive atmosphere often present in the pulp and paper industrial facilities. Corrosion of electrical conductors may result in fast and irreversible deterioration, causing production loss and safety hazards. The paper reviews the most severe corrosion problems effecting conductivity of electrical contacts and resulting in overheating of electrical equipment used in this industry. A number of various protecting means are suggested to slow down corrosion of silver and copper, and other metals most often used in electrical equipment. The paper discusses implementation and value of various condition monitoring techniques to provide timely maintenance of electrical equipment exposed to corrosive environment in the pulp and paper facilities.