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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Is the reals the smallest connected ordered topological ring?

The real numbers is the smallest connected ordered field. Let $F$ be an ordered field, endowed with the order topology, that is connected with this topology. (Note that the order topology makes any o …
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