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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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Topological conditions forcing continuity

It's possible to find a sufficient condition without putting any restraint on the spaces $X$ or $Y$. Let $Z$ be the Sierpinski space, that is $Z$ has $\{0,1\}$ as a base set, and $\tau = \{\emptyset, …
Dominic van der Zypen's user avatar