Topological characterization of various types of rings of smooth functions

Details Topological characterization of various types of rings of smooth functions Topological characterization of various types of rings of smooth functions

2011-08-30

arxiv.org/abs/1108.5885v2

Mathematics

Differential Geometry

12 pages

Scientific paper

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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