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arXiv · 1108.5885

Topological characterization of various types of rings of smooth functions

Dennis Borisov
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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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Dennis Borisov. 2011-10-02. Topological characterization of various types of rings of smooth functions. https://arxiv.org/abs/1108.5885

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