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Delta Function - Gauge-institute.org

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<strong>Gauge</strong> Institute Journal, Volume 8, No.2, May 2012H. Vic Dannon15. In particular, there are no points on the real line thatcan be assigned uniquely to the infinitesimal hyper-reals, orto the infinite hyper-reals, or to the non-constant hyperreals.16. No neighbourhood of a hyper-real is homeomorphic toan nball. Therefore, the hyper-real line is not a manifold.17. The hyper-real line is totally ordered like a line, but itis not spanned by one element, and it is not one-dimensional.9

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