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Topological characterization of various types of rings of smooth functions (1108.5885v2)
Published 30 Aug 2011 in math.DG
Abstract: Topologies on algebraic and equational theories are used to define germ determined, near-point determined, and point determined rings of smooth functions, without requiring them to be finitely generated. It is proved, that any commutative algebra morphism (without requiring continuity) between near-point determined rings of smooth functions is smooth (and hence continuous).
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