Topological characterization of various types of rings of smooth functions
Differential Geometry
2011-10-04 v2
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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Cite
@article{arxiv.1108.5885,
title = {Topological characterization of various types of rings of smooth functions},
author = {Dennis Borisov},
journal= {arXiv preprint arXiv:1108.5885},
year = {2011}
}
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12 pages