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Absolute measurable space and absolute null space are very old topological notions, developed from well-known facts of descriptive set theory, topology, Borel measure theory and analysis. This monograph systematically develops and returns to the topological and geometrical origins of these notions. Motivating the development of the exposition are the action of the group of homeomorphisms of a space on Borel measures, the Oxtoby-Ulam theorem on Lebesgue-like measures on the unit cube, and the extensions of this theorem to many other topological spaces. Existence of uncountable absolute null space, extension of the Purves theorem and recent advances on homeomorphic Borel probability measures on the Cantor space, are among the many topics discussed. A brief discussion of set-theoretic results on absolute null space is given, and a four-part appendix aids the reader with topological dimension theory, Hausdorff measure and Hausdorff dimension, and geometric measure theory.
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Since 1999, test methods for freezing conditions, including ice and snow, have been refined by the IEEE Dielectrics and Electrical Insulation Society and IEEE Power and Energy Society Task Forces on insulator icing. In this guide, the discussion is consolidated, and specific, appropriate, and reproducible test methods for selecting adequate insulators are recommended. Test methods for substation and line insulators at distribution and transmission voltage levels are included in the scope. Special measures to reproduce the environmental and insulator parameters that influence the risk of flashover in freezing conditions are detailed in the test methods. Statistical methods are also recommended to assist in the insulator selection process. Keywords: cold fog, contamination, high-voltage testing, ice, icing, insulators, salt fog, snow.
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